Fanny, Marion, Lynn and Joelle went to buy a present for their younger brother. They shared the cost equally among themselves. However, Joelle forgot to bring her money. So, the other 3 girls paid for the present first. Lynn paid ⁵₁₁ of the amount Fanny and Marion paid. Marion paid $4 more than Fanny. The next day, Joelle returned $10 to Lynn and some money to Fanny and Marion. How much did Joelle return to

1. Fanny?
2. Marion?

	Fanny	Marion	Lynn	Joelle	Total
Comparing the amounts 3 girls paid first	11 u		5 u		16 u
Comparing the amounts 2 girls paid first	1 p	1 p + 4
Amounts that each girl paid for Joelle first	- ?	- ?	- 10	+ 10 + ?
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 Lynn paid 
= 5 u - 4 u
= 1 u

1 u = 10

Total amount that Fanny and Marion paid at first
= 11 u
= 11 x 10
= $110

1 p + 1 p + 4 = 110
2 p = 110 - 4
2 p = 106

1 p = 106 ÷ 2 = 53

Amount that Joelle needed to pay Fanny
= 1 p - 4 u
= 53 - 4 x 10
= 53 - 40
= $13

(b)
Amount that Joelle needed to pay Marion
= (1 p + 4) - 4 u
= (53 + 4) - 4 x 10
= 57 - 40
= $17

Answer(s): (a) $13; (b) $17