How many calories are in each food

Question

A slice of pie with a scoop of ice cream has 850 calories. The calories in the pie alone are 100 more than twice the calories in the ice cream alone. How many calories are in each food?

Answer 1

To solve this problem we have to set up an equation. We will call the calories in the pie y and the calories in the ice cream x.

 

The pie and the ice cream together have 850 calories. Replacing "pie" with "y" and "ice cream" with "x" we get the equation x+y=850. We also know that the number of calories in the pie is 100 + 2 times the calories in the ice cream. This gives us y = 100 + 2x.

 

Solve the first equation for y, to get y=850-x. Since y=850-x and y=100+2x, you can set these two equations equal to get 850-x=100+2x.

 

Solve this equation for x to get the number of calories in the ice cream. Once you do that, you can find the number of calories in the pie by plugging the x-value into the equation y=850-x.