Question

Jim wants to plan a meal with 148 grams of carbohydrates and 1240 calories. if green beans have 7 grams of carbohydrates and 30 calories per half-cup serving and 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?

Answer 1

Answer;

16 half-cup servings of beans and 4 three oz. servings of shrimp

Explanation and solution;

Let x = number of half-cup servings of beans  

Let y = number of 3 oz. servings of shrimp  

We will have 2 equations, one for carbs and one for calories  

7x + 9y = 148

30x + 190y = 1240  

30(7x + 9y) = 30(148)  

-7(30x + 190y) = -7(1240)  

210x + 270y = 4440  

-210x - 1330y = -8680

-1060y = -4240  

y = 4

7x + 9y = 148

7x + 9(4) = 148

7x + 36 = 148  

7x =  112

x = 16

Hence; X = 16 and Y= 4

16 half-cup servings of beans and 4, 3 oz. servings of shrimp

Answer 2

Answer:

16 half a cup serving with 4 ounces of shrimp:)))

Explanation: