Joelle, Anna, Julie and Zoe went to buy a gift for their cousin. They shared the cost equally among themselves. However, Zoe forgot to bring her money. So, the other 3 girls paid for the gift first. Julie paid ⁷₉ of the amount Joelle and Anna paid. Anna paid $6 more than Joelle. The next day, Zoe returned $36 to Julie and some money to Joelle and Anna. How much did Zoe return to

1. Joelle?
2. Anna?

	Joelle	Anna	Julie	Zoe	Total
Comparing the amounts 3 girls paid first	9 u		7 u		16 u
Comparing the amounts 2 girls paid first	1 p	1 p + 6
Amounts that each girl paid for Zoe first	- ?	- ?	- 36	+ 36 + ?
Comparing the amounts each girl should pay	1x4 = 4 u	1x4 = 4 u	1x4 = 4 u	1x4 = 4 u	4x4 = 16 u

(a)
The total amount that the 4 girls paid is repeated. Make the total amount the same.  LCM of 4 and 16 is 16.

Extra amount that Julie paid 
= 7 u - 4 u
= 3 u

3 u = 36

1 u = 36 ÷ 3 = 12

Total amount that Joelle and Anna paid at first
= 9 u
= 9 x 12
= $108

1 p + 1 p + 6 = 108
2 p = 108 - 6
2 p = 102

1 p = 102 ÷ 2 = 51

Amount that Zoe needed to pay Joelle
= 1 p - 4 u
= 51 - 4 x 12
= 51 - 48
= $3

(b)
Amount that Zoe needed to pay Anna
= (1 p + 6) - 4 u
= (51 + 6) - 4 x 12
= 57 - 48
= $9

Answer(s): (a) $3; (b) $9