Question

Sarah and Ella were selling boxes of chocolates to raise money for a trip. Sarah sold 5 boxes of chocolates for every 3 boxes Ella sold. Together they sold 160 boxes of chocolates. How many boxes of chocolates did EACH of them sell?

Answer 1

Ella sold 100 boxes, and Sarah sold 60 boxes

Explanation:

Variables:

Let s be sarah

Let e be ella

Equations:

3e = 5s

s + e = 160 ⇒ s = 160 - e

Work:

3e = 5(160 - e)

3e = 800 - 5e

+5e +5e

8e = 800

e = 100

Ella sold 100 boxes of chocolates.

3(100) = 5s

5s = 300

*divide both sides of the equal sign by 5

s = 60

Sarah sold 60 boxes