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

1. Joelle?
2. Abi?

	Joelle	Abi	Jaslyn	Julie	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 Julie 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 Jaslyn paid 
= 7 u - 4 u
= 3 u

3 u = 36

1 u = 36 ÷ 3 = 12

Total amount that Joelle and Abi 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 Julie needed to pay Joelle
= 1 p - 4 u
= 51 - 4 x 12
= 51 - 48
= $3

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

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