A nutrition plan counts grams of fat, carbohydrates, and fiber. The grams of carbohydrates are to be 17 more than twice the grams of fat. The grams of fiber are to be three less than the grams of fat. If the grams of carbohydrate, fat, and fiber must total 54 grams for a dinner meal, how many grams of each would be in the meal?
A) 6 grams of fat, 3 grams of fiber, 45 grams of carbohydrates
B) 11 grams of fat, 8 grams of fiber, 35 grams of carbohydrates
C) 10 grams of fat, 7 grams of fiber, 37 grams of carbohydrates
D) 5 grams of fat, 2 grams of fiber, 47 grams of carbohydrates
E) 12 grams of fat, 9 grams of fiber, 33 grams of carbohydrates

Question

Quizplus · Accepted Answer

Let x be the grams of fat, then the grams of carbohydrates are 17 + 2x and the grams of fiber are x - 3. Setting up an equation with the sum of the three:
x + (17 + 2x) + (x - 3) = 54
4x + 14 = 54
4x = 40
x = 10
Therefore, there are 10 grams of fat, 7 grams of fiber, and 37 grams of carbohydrates. Therefore, the best choice is C.

A Nutrition Plan Counts Grams of Fat, Carbohydrates, and Fiber