8th grade math question?

Question

Three servings of cereal and four cups of soymilk have six hundred ninety-seven calories. There are only gour hundred ninety-seven calories in two servings of cereal and three cups of soymilk. How many combined calories are there in five servings of cereal and five cups of soymilk?

Answer 1

3c + 4m = 697
2c + 3m = 497

So find c and m for calories in each part.

I would mulitiply the top line by 2/3 so that

2c + 8/3m = 464.6667
2c + 3m = 497
Subtract top line from bottom line and solve for m
1/3 m = 32 1/3
m = 97
Subsititue answer back in to solve for c
3*97 = 291
2c = 497 - 291 = 206
c = 103

5c + 5m = 5(97) + 5(103) = 1000 Calories

Answer 2

Let C be the number of calories in one serving of cereal, and S be the number of calcories in one cup of soymilk. Then:
3C + 4S = 697
2C + 3S = 497

We want to find out the value of 5C + 5S. Now we could go ahead and solve this system of two equations for C and S, then multiply each by 5, and add them up. But there is a quicker way. Subtract the second equation from the first and you get
C + S = 200

So this means 5C + 5S = 5(C + S) = 5*200 = 1000.

Answer 3

there can be no definitive answer,,,because soymilk is far below the caloric count than the cereal,,,plus you have odd numbers of each previous,,,now you have equal amounts of each,,,so there can be no definite answer///// 3c +4s and so forth is nice,,,but they are not equal,,,no answer.....the assumption that they are equal in calories is a teachers tool to come up with an incorrect answer....mathematics only,,then you could use the 3c+4s,,,and the 2c+3s,,,but that is only for fraction purposes,,,,realistically,,,,you will only get the correct facts,,,by knowing each products caloric count......

Answer 4

1194 calories 697 + 497 (3 servings + 2 servings = 5 servings)

Answer 5

797

Answer 6

write a proportion