Solve.
-Jim wants to plan a meal with 82 grams of carbohydrates and 1260 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?
A)7 half cups of beans and 9 three-ounce helpings of shrimp
B)9 half cups of beans and 7 three-ounce helpings of shrimp
C)4 half cups of beans and 6 three-ounce helpings of shrimp
D)6 half cups of beans and 4 three-ounce helpings of shrimp

Question

Quizplus · Accepted Answer

Let x be the number of half cups of green beans and y be the number of three-ounce servings of shrimp.7x + 9y = 8230x + 190y = 1260Solving the first equation for x, we get:x = (82 - 9y) / 7Substituting this into the second equation, we get:30((82 - 9y) / 7) + 190y = 1260360 - 270y + 190y = 1260-80y = 900y = 11.25Substituting this back into the first equation, we get:7x + 9(11.25) = 827x + 101.25 = 827x = -19.25x = -2.75Since we can't have negative servings, this solution is not valid.Trying y = 11, we get:7x + 9(11) = 827x + 99 = 827x = -17x = -2.43Again, this is not a valid solution.Trying y = 10, we get:7x + 9(10) = 827x + 90 = 827x = -8x = -1.14This is still not a valid solution.Trying y = 9, we get:7x + 9(9) = 827x + 81 = 827x = 1x = 1/7This is finally a valid solution.Therefore, Jim should use 1/7 half cups of green beans and 9 three-ounce servings of shrimp.

Solve. -Jim Wants to Plan a Meal with 82 Grams of of Carbohydrates