Question

Jim wants to plan a meal with 113 grams of carbohydrates and 1090 calories. If green beans

have 7 grams of carbohydrates and 30
calories per half cup serving and if french fried
shrimp have 9 grams of carbohydrates and 190 calories per three-ounce serving, how many
servings of green beans and shrimp should he use?

1. 11 half cups of beans and 4 three-ounce helpings of shrimp

2. 9 half cups of beans and 7 three-ounce helpings of shrimp

3. 7 half cups of beans and 9 three-ounce helpings of shrimp

4. 4 half cups of beans and 11 three-ounce helpings of shrimp

Answer 1

9514 1404 393

Answer:

1. 11 half cups of beans and 4 three-ounce helpings of shrimp

Explanation:

Let x and y represent servings of green beans and shrimp, respectively. Then the number of grams of carbohydrate in the meal is ...

7x +9y = 113

And the number of calories in the meal is ...

30x +190y = 1090

The solution to these equations can be found by your favorite method to be ...

(x, y) = (11, 4)

The appropriate number of servings is ...

1. 11 half cups of beans and 4 three-ounce helpings of shrimp