Problema Solution

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

Answer provided by our tutors

let


p = the number of calories in a piece of pie

s = the number of calories in a scoop of ice cream


the number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream


p = 3s - 20


the pie and ice cream together have 500 calories


p + s = 500


by solving the system of equations


p = 3s - 20

p + s = 500


we find


p = 370 cal


s = 130 cal


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a piece of pie has 370 calories.

a scoop of ice cream has 130 calories.