How many ounces of each are needed to have 107 grams of carbohydrates and 126 grams of protein?

Question

A sports drink, Zap, contains 7 grams of carbohydrates and 6 grams of protein per ounce. Another sports drink, Wham, contains 5 grams of carbohydrates and 10 grams of protein per ounce.

Answer 1

7Z + 5W = 107

6Z + 10W = 126

 

 

42Z + 30W = 642

-42Z + -70W = -882

 

-40W = -240

 

W = 6

 

7Z + 5(6) = 107

7Z + 30 = 107

7Z = 77

Z = 11

 

11 ounces of Zap and 6 ounces of Wham