Solve Problems Using Systems of Linear Equations
-Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 800 calories. Three servings of ice cream and two servings of blueberry pie provides 1280 calories. Find the caloric content of each item.
A) Serving of ice cream: 240 calories
B) Serving of ice cream: 280 calories
Serving of blueberry pie: 280 calories Serving of blueberry pie: 240 calories
C) Serving of ice cream: 230 calories
D) Serving of ice cream: 246 calories
Serving of blueberry pie: 285 calories Serving of blueberry pie: 277 calories

Question

Quizplus · Accepted Answer

Let the calories in one serving of ice cream be $x$ and in one serving of blueberry pie be $y$. The system of equations based on the given information is:$$x + 2y = 800$$$$3x + 2y = 1280$$Subtracting the first equation from the second gives $2x = 480$, so $x = 240$. Substituting $x = 240$ into the first equation gives $240 + 2y = 800$, leading to $2y = 560$, so $y = 280$. Therefore, a serving of ice cream is 240 calories, and a serving of blueberry pie is 280 calories.