pencap
Well-Known Member
Kinda sound Familiar??? makes me think about some of the INFORMED posts here........
Then we figured out how many teaspoons would be in the real concentration of 2 gallons, which was 4.Step 3: Then we figured out that 4 tsp. was 1/3 of 12 tsp.Step 4: Then we subtracted 3/3 hot sauce - 1/3 hot sauce and the excess was 2/3 hot sauce which would need to be eaten to getback to the original concentration.Grade: 7ththis is for strawberry icecream. SORRY I AM LATEMy answer is: The oldest is 9 than 4 than 2.I got that by trieing different numbers to see if they work. I finially got nine four and two.I think those are wright.
. This means for every sixteen people, sixteen cups or one gallon of the original Chilli will get put in. If sixteen pople replace one gallon and you need to replace four gallons then you multiply sixteen by four to get sixty-four cups or four gallons.Grade: sixth grade14 brave people dared to try Bill's wild, hot chili. We got this answer because he put one gallon total of the extra tomatoes and things to make it even with the hot sauce. Bill put four too many teaspoons of hot sauce in the wild chili recipe.Grade: 8The first thing I did was to come up with a way in my head as to how to solve the problem. I knew that I had to; work with all of the numbers in the save unit. The easiest would b3e in teaspoons that way I would not have to work with decimals of fractions.I forund:1tbsp=3tsp 1gallon = 768 tsp 1 cup = 48 tsp thus I was able to covert all of the numbers given in the problen into teaspoons then I set up the following:Regular Mistake (the first number in the hotsauce and the second2t/768t 6t/768t is the rest of the chili)Then: 768*6/2=2304 this is the amount of extra beans ect. would be in the chili if it was remain at the 2/768 scale with 6t of hot sauceThen 2304-768=1536 the number of teaspoons needed to be add to make tha hot chili normal 1536/48=32 this is the number of cups or servings needed to be added to the hot chili to make it ANSWER: 4 guests.Grade: 8 grade30 The reason why is because he made 2 gallons of chili so if you add it up you come up with 30 peaple.Also if you add up all the ingredients you come up with 30 peaple.Grade: 5Answer:about 22 people had to be served....
Grade: 6th GradeWhat we did to solve this problem was that we knew Bill should have put 4 t. of how sauce, but he wound up putting the equivalent of 12 t. 12 t. would be equal to 6 gallons for the right recipe. So now he was over by 4 gallons. That means you would have to times 16 cups by 4. Therefore he needed to serve 64 people one cup of chili to get the original recipe's concentration of hot sauce.Math we used:1 gal = 16 cups2 gal = 32 cups2t./per gal=4 t.2T./per gal=12 t.Grade: 6th GradeAnswer: 21 people served There are 32 cups of chili in the pot. There are 12 t. of how sauce in the pot. There are supposed to be 4t. 12t. goes into 4t. 3 times. 2/3 of the chili has to be removed and replaced with mild chili. 3 (from the fraction 2/3) divided by 32 cups equals approx. 10.5. 10.5 times 2= 21 people.Grade: 6th Grade2t/gal=4t2T/gal=12t12 divided by 32=0.3754 divided by 32=0.125 0.375 0.25-0.125 X 32________ _________ 0.250 8.00The answer is 8 people must be served.First we found out that there are 32 cups in two gallons.Then we divided 12 by 32. Then we divided 4 by 3. We did the subtraction and then multiplied our answer by the number of cups in the two gallons and got 8 people.Grade: 6th GradeOur answer was 4 cups.We got this answer because we did 48 teaspoons in one cup, divided by 12 teaspoons which was how many he put into the chili and got 4 cups so that is why our answer is 4 cups.Grade: 6th GradeThere are 0.375 t. in each cup, minus 0.125 t. what we are supposed to have and you get 0.25 times 32 cups which is in 2 gallons and you get 8. Our answer is 8 people.Grade: 6th GradeThere are 32 cups in the pot, 12t. of hot sauce in pot. There was supposed to be 4t, goes into 12, 3 times. There are 2/3 too much how sauce in the pot. 3 divided by 32 is 10.5. 10.5 X 2 (2/3 too much) =21 cups or 21 people who must be served.Grade: 6th Grade It took 32 people to eat all the chili and he added some normal chili every time one person ate it. 1 cup was added and then 32 people ate in and 32 cups were left in the keg.
Then we just kept going from there and got 21.
Grade: 6th Grade Answer: 16 peopleThere are 4 cups every quart and 4 quarts every gallon and 2 gallons and everyone gets a cup of chili, so it would take 16 people to finish the how chili and get the new stuff.Grade: 6th Grade 2t. per gallon=4t. how sauceDid 2T=4T total=12 t.16 people should be served.
Grade: 6th Grade 21 people (cups)There are 32 cups in a pot. There were 12t. of how sauce in the pot. There are supposed to be 4t. 12t. goes into 4t .66 times. There are 2/3 too much hot sauce in the pot. 3 divided by 32 is app 10.5. 10.5 X 2 (2/3 too much) or 21 people.Grade: 6th Grade The answer is 16 people.Bill used 2T instead of 2t. So if he made 3 gal he would have 6 tsp for each. In one gallon there are 16 cups. In three gallons there are 48 cups. If he wants to get it back to the original concentration he has to keep taking 16 cups out and putting 16 cups in and 16 cups of the original in to keep the same ratio., but he made a mistake and put in 12 teaspoons of hot sauce. This is 2/3 too much hot sauce. He needs to serve 2/3 of the chili to get to the recipes original concentration. I figured 2 gallons of chili equals 32 cups of chili. I divided by 3 to find out how much a third of the cups would be and then I doubled it to get 2/3 cups. I came up with 21.33 cups, so I knew that Bill needed to serve 21 people and a person would get an extra 1/3 of a cup. This would mean Bill would add 21.33 cups of plain chili to make it the original recipe.Grade: 8There should be 4 teaspoons of hot sauce in the chillie.Instead there are 4 tablespoons of hot sauce in the chillie. (Since there are 3 teaspoons in every tablespoons, 4 tablespoons equals 12 teaspoons.)Since there are 32 cups of chillie (2 gallons=32 cups) and all Bill is doing is taking out 1 cup with hot sauce and replacing it with 1 cup of the regular chillie, all he is doing is taking out some hot sauce each time he does it. Since there are 12 teaspoons in the mixture and 1/32 of it is taken out each time then 1/32 of 12 will show how many teaspoons are taken out each time. 1/32 of 12 is 3/8. 3/8 of a teaspoon of hot sauce are taken out of the chillie each time. So now the question is how long does it take to get from the wrong concentration (12 teaspoons) to the correct concentration (4 teaspoons) at a rate of -3/8 teaspoons each time? 12 - 3/8 = 11 5/811 5/8 - 3/8 = 11 2/811 2/8 - 3/8 = 10 7/8 .............4 4/8 - 3/8 = 4 1/84 1/8 - 3/8 = 3 6/8All in all, it takes 22 people to be served to get the mixture back down to 4 teaspoons. (Actually, after 21 people the mixture will be at 4 1/8 of a teaspoon, and after 22 people the mixture will be at 3 and 6/8 of a teaspoon.)
Reasoning: Bill put in 4 times as much hot sauce so he needs to put in 4 times as much chili to bring the chili back to normal recipe. So you multiply (16 x 4) - 16 = 48 cups or you can make a proportion:2 tspns. : 8 tspns = 16 cups : xGrade: 82 gal = 32 cups1 tablespoon = 2 teaspoonsoriginal = 2 gals = 2 tsp of hot sauceBill's = 2 gallons = 2 tbsp. = 4 tsp of hot sauce4 / 32 = .125 1 cup = .125 4 - 2 = 2.125 x = 2 x = 16 answer = 16 guests have to be serve to get back to the original recipe. (lol)Grade: 6th16 times 3 equals 48 = 1 cup. He did 3 times more than he should have. (48 times 2) divided by three= 96 over 3 = 32 guest per gallon. 2 gallon = 32 times 2 = 64 guestGrade: 6He can serve 32 perple in order to get the original recipe back. He multiplied 4 pints times 4 groups. We had 16 pints , then we multiplied 16 pints times 2 gallers, and got 32 pints. 32 pints can serve 32 peopleGrade: 8Twenty-four guests had to be served to get the chile back to its original recipe. I found this out by looking in a cookbook and finding how many cups are in a gallon and how many teaspoons there are in a tablespoon. I then drew a diagram to show that 16 cups are in a gallon. I then took out 24 cups of the chile, because he added 3 times as much of the hot sauce, and then you would add 24 cups of the chile without any hot sauce. So 24 cups had to be taken out of the 32 cups of chile. Grade: 8Answer to Bill's ChiliAnswer:64 guestsI first figured that the original recipe called for 4 teaspoons for 32 cups, or 2 gallons. He put in 4 tablespoons (I used the equation of 3 tsp. per tablespoon) which is actually 12 tsp., 3 times the amount he should have used. If he had done the recipe right and made the recipe larger he should have made 96 cups for 12 teaspoons. So in order for the chili to get back to normal I subtracted 96 cups by 32 cups and got 64, my answer.Grade: 616 people will need to be served. We found out has many cups are in a quart and then how many quarts in a gallon.Grade: 8For our answer to last week's problem we got 16. We got this by figuring out how many cups were in a gallon which is 8 and since Bob had 2 gallons we took the 8 cups in one and the 8 cups in the other and added them up to get 16. So 16 people would have to get the chilli in order for it to go back to the original amount of everything.
Anyone wanna pipe in here??? Sound familiar on nute recipies???
Math Forum - Middle School Problem of the Week
Then we figured out how many teaspoons would be in the real concentration of 2 gallons, which was 4.Step 3: Then we figured out that 4 tsp. was 1/3 of 12 tsp.Step 4: Then we subtracted 3/3 hot sauce - 1/3 hot sauce and the excess was 2/3 hot sauce which would need to be eaten to getback to the original concentration.Grade: 7ththis is for strawberry icecream. SORRY I AM LATEMy answer is: The oldest is 9 than 4 than 2.I got that by trieing different numbers to see if they work. I finially got nine four and two.I think those are wright.
. This means for every sixteen people, sixteen cups or one gallon of the original Chilli will get put in. If sixteen pople replace one gallon and you need to replace four gallons then you multiply sixteen by four to get sixty-four cups or four gallons.Grade: sixth grade14 brave people dared to try Bill's wild, hot chili. We got this answer because he put one gallon total of the extra tomatoes and things to make it even with the hot sauce. Bill put four too many teaspoons of hot sauce in the wild chili recipe.Grade: 8The first thing I did was to come up with a way in my head as to how to solve the problem. I knew that I had to; work with all of the numbers in the save unit. The easiest would b3e in teaspoons that way I would not have to work with decimals of fractions.I forund:1tbsp=3tsp 1gallon = 768 tsp 1 cup = 48 tsp thus I was able to covert all of the numbers given in the problen into teaspoons then I set up the following:Regular Mistake (the first number in the hotsauce and the second2t/768t 6t/768t is the rest of the chili)Then: 768*6/2=2304 this is the amount of extra beans ect. would be in the chili if it was remain at the 2/768 scale with 6t of hot sauceThen 2304-768=1536 the number of teaspoons needed to be add to make tha hot chili normal 1536/48=32 this is the number of cups or servings needed to be added to the hot chili to make it ANSWER: 4 guests.Grade: 8 grade30 The reason why is because he made 2 gallons of chili so if you add it up you come up with 30 peaple.Also if you add up all the ingredients you come up with 30 peaple.Grade: 5Answer:about 22 people had to be served....
Grade: 6th GradeWhat we did to solve this problem was that we knew Bill should have put 4 t. of how sauce, but he wound up putting the equivalent of 12 t. 12 t. would be equal to 6 gallons for the right recipe. So now he was over by 4 gallons. That means you would have to times 16 cups by 4. Therefore he needed to serve 64 people one cup of chili to get the original recipe's concentration of hot sauce.Math we used:1 gal = 16 cups2 gal = 32 cups2t./per gal=4 t.2T./per gal=12 t.Grade: 6th GradeAnswer: 21 people served There are 32 cups of chili in the pot. There are 12 t. of how sauce in the pot. There are supposed to be 4t. 12t. goes into 4t. 3 times. 2/3 of the chili has to be removed and replaced with mild chili. 3 (from the fraction 2/3) divided by 32 cups equals approx. 10.5. 10.5 times 2= 21 people.Grade: 6th Grade2t/gal=4t2T/gal=12t12 divided by 32=0.3754 divided by 32=0.125 0.375 0.25-0.125 X 32________ _________ 0.250 8.00The answer is 8 people must be served.First we found out that there are 32 cups in two gallons.Then we divided 12 by 32. Then we divided 4 by 3. We did the subtraction and then multiplied our answer by the number of cups in the two gallons and got 8 people.Grade: 6th GradeOur answer was 4 cups.We got this answer because we did 48 teaspoons in one cup, divided by 12 teaspoons which was how many he put into the chili and got 4 cups so that is why our answer is 4 cups.Grade: 6th GradeThere are 0.375 t. in each cup, minus 0.125 t. what we are supposed to have and you get 0.25 times 32 cups which is in 2 gallons and you get 8. Our answer is 8 people.Grade: 6th GradeThere are 32 cups in the pot, 12t. of hot sauce in pot. There was supposed to be 4t, goes into 12, 3 times. There are 2/3 too much how sauce in the pot. 3 divided by 32 is 10.5. 10.5 X 2 (2/3 too much) =21 cups or 21 people who must be served.Grade: 6th Grade It took 32 people to eat all the chili and he added some normal chili every time one person ate it. 1 cup was added and then 32 people ate in and 32 cups were left in the keg.
Then we just kept going from there and got 21.
Grade: 6th Grade Answer: 16 peopleThere are 4 cups every quart and 4 quarts every gallon and 2 gallons and everyone gets a cup of chili, so it would take 16 people to finish the how chili and get the new stuff.Grade: 6th Grade 2t. per gallon=4t. how sauceDid 2T=4T total=12 t.16 people should be served.
Grade: 6th Grade 21 people (cups)There are 32 cups in a pot. There were 12t. of how sauce in the pot. There are supposed to be 4t. 12t. goes into 4t .66 times. There are 2/3 too much hot sauce in the pot. 3 divided by 32 is app 10.5. 10.5 X 2 (2/3 too much) or 21 people.Grade: 6th Grade The answer is 16 people.Bill used 2T instead of 2t. So if he made 3 gal he would have 6 tsp for each. In one gallon there are 16 cups. In three gallons there are 48 cups. If he wants to get it back to the original concentration he has to keep taking 16 cups out and putting 16 cups in and 16 cups of the original in to keep the same ratio., but he made a mistake and put in 12 teaspoons of hot sauce. This is 2/3 too much hot sauce. He needs to serve 2/3 of the chili to get to the recipes original concentration. I figured 2 gallons of chili equals 32 cups of chili. I divided by 3 to find out how much a third of the cups would be and then I doubled it to get 2/3 cups. I came up with 21.33 cups, so I knew that Bill needed to serve 21 people and a person would get an extra 1/3 of a cup. This would mean Bill would add 21.33 cups of plain chili to make it the original recipe.Grade: 8There should be 4 teaspoons of hot sauce in the chillie.Instead there are 4 tablespoons of hot sauce in the chillie. (Since there are 3 teaspoons in every tablespoons, 4 tablespoons equals 12 teaspoons.)Since there are 32 cups of chillie (2 gallons=32 cups) and all Bill is doing is taking out 1 cup with hot sauce and replacing it with 1 cup of the regular chillie, all he is doing is taking out some hot sauce each time he does it. Since there are 12 teaspoons in the mixture and 1/32 of it is taken out each time then 1/32 of 12 will show how many teaspoons are taken out each time. 1/32 of 12 is 3/8. 3/8 of a teaspoon of hot sauce are taken out of the chillie each time. So now the question is how long does it take to get from the wrong concentration (12 teaspoons) to the correct concentration (4 teaspoons) at a rate of -3/8 teaspoons each time? 12 - 3/8 = 11 5/811 5/8 - 3/8 = 11 2/811 2/8 - 3/8 = 10 7/8 .............4 4/8 - 3/8 = 4 1/84 1/8 - 3/8 = 3 6/8All in all, it takes 22 people to be served to get the mixture back down to 4 teaspoons. (Actually, after 21 people the mixture will be at 4 1/8 of a teaspoon, and after 22 people the mixture will be at 3 and 6/8 of a teaspoon.)
Reasoning: Bill put in 4 times as much hot sauce so he needs to put in 4 times as much chili to bring the chili back to normal recipe. So you multiply (16 x 4) - 16 = 48 cups or you can make a proportion:2 tspns. : 8 tspns = 16 cups : xGrade: 82 gal = 32 cups1 tablespoon = 2 teaspoonsoriginal = 2 gals = 2 tsp of hot sauceBill's = 2 gallons = 2 tbsp. = 4 tsp of hot sauce4 / 32 = .125 1 cup = .125 4 - 2 = 2.125 x = 2 x = 16 answer = 16 guests have to be serve to get back to the original recipe. (lol)Grade: 6th16 times 3 equals 48 = 1 cup. He did 3 times more than he should have. (48 times 2) divided by three= 96 over 3 = 32 guest per gallon. 2 gallon = 32 times 2 = 64 guestGrade: 6He can serve 32 perple in order to get the original recipe back. He multiplied 4 pints times 4 groups. We had 16 pints , then we multiplied 16 pints times 2 gallers, and got 32 pints. 32 pints can serve 32 peopleGrade: 8Twenty-four guests had to be served to get the chile back to its original recipe. I found this out by looking in a cookbook and finding how many cups are in a gallon and how many teaspoons there are in a tablespoon. I then drew a diagram to show that 16 cups are in a gallon. I then took out 24 cups of the chile, because he added 3 times as much of the hot sauce, and then you would add 24 cups of the chile without any hot sauce. So 24 cups had to be taken out of the 32 cups of chile. Grade: 8Answer to Bill's ChiliAnswer:64 guestsI first figured that the original recipe called for 4 teaspoons for 32 cups, or 2 gallons. He put in 4 tablespoons (I used the equation of 3 tsp. per tablespoon) which is actually 12 tsp., 3 times the amount he should have used. If he had done the recipe right and made the recipe larger he should have made 96 cups for 12 teaspoons. So in order for the chili to get back to normal I subtracted 96 cups by 32 cups and got 64, my answer.Grade: 616 people will need to be served. We found out has many cups are in a quart and then how many quarts in a gallon.Grade: 8For our answer to last week's problem we got 16. We got this by figuring out how many cups were in a gallon which is 8 and since Bob had 2 gallons we took the 8 cups in one and the 8 cups in the other and added them up to get 16. So 16 people would have to get the chilli in order for it to go back to the original amount of everything.
Anyone wanna pipe in here??? Sound familiar on nute recipies???
Math Forum - Middle School Problem of the Week
