Question

Pat, Ally and Julie work at a clothing store and they want to compare their weekly earnings. Ally made twice what Pat made and Julie made $90 more than Ally. If their total earnings for the week are $995, how much didi each girl make?

Answer 1

Pat earnings = $181

Ally earnings = $362

Julie earnings = $452

Explanation:

Let

Pat earnings = x

Ally earnings = 2x

Julie earnings = 2x + 90

Total earnings = $995

Total earnings = Pat earnings + Ally earnings + Julie earnings

995 = x + 2x + (2x + 90)

995 = 3x + 2x + 90

995 = 5x + 90

995 - 90 = 5x

905 = 5x

x = 905/5

x = 181

Pat earnings = x = $181

Ally earnings = 2x

= 2(181)

= $362

Julie earnings = 2x + 90

= 2(181) + 90

= 362 + 90

= $452