# The number of calories in a piece of pie is 20 less than 3 times the number of calories in a scoop of ice cream. The pie and ice cream together have 500 calories. How many calories are in each?

##### 1 Answer

#### Answer:

The piece of pie has 370 calories while the scoop of ice cream has 130 calories.

#### Explanation:

Let

and

From the problem: The calories of the pie is equal to 3 times the calories of the icecream, minus 20.

Also from the problem, the calories of both added together is 500:

The first and last equation are equal (=

Then, we can use this value in any of the equations above to solve for

So, the piece of pie has 370 calories while the scoop of ice cream has 130 calories.