Pre Cal Math Question

Question

Nicole started a new diet that requires each meal to have 440 calories, 8 grams of fiber, and 7 grams of fat. The table shows the fiber, fat, and calorie content of one serving of each of three breakfast foods. How many servings of each food should Nicole eat to follow her diet?

 

Food   Fiber   Fat   Calories
Toast     2       1      100

Cottage

Cheese  0       5       120

Fruit      2       0        60

Answer 1

Let toast serving be x

Cottage cheese serving be y

fruit serving be z

 

2x + 0y + 2z = 8

1x + 5y +0z = 7

100x + 120y +0z = 440

 

Solev three simultaneous equations and get the value of x, y ,z