Lynn, Winnie, Irene and Fiona went to buy a souvenir for their mother. They shared the cost equally among themselves. However, Fiona forgot to bring her money. So, the other 3 girls paid for the souvenir first. Irene paid ³₅ of the amount Lynn and Winnie paid. Winnie paid $7 more than Lynn. The next day, Fiona returned $19 to Irene and some money to Lynn and Winnie. How much did Fiona return to

1. Lynn?
2. Winnie?

	Lynn	Winnie	Irene	Fiona	Total
Comparing the amounts 3 girls paid first	5 u		3 u		8 u
Comparing the amounts 2 girls paid first	1 p	1 p + 7
Amounts that each girl paid for Fiona first	- ?	- ?	- 19	+ 19 + ?
Comparing the amounts each girl should pay	1x2 = 2 u	1x2 = 2 u	1x2 = 2 u	1x2 = 2 u	4x2 = 8 u

(a)
The total amount that the 4 girls paid is repeated. Make the total amount the same.  LCM of 4 and 8 is 8.

Extra amount that Irene paid 
= 3 u - 2 u
= 1 u

1 u = 19

Total amount that Lynn and Winnie paid at first
= 5 u
= 5 x 19
= $95

1 p + 1 p + 7 = 95
2 p = 95 - 7
2 p = 88

1 p = 88 ÷ 2 = 44

Amount that Fiona needed to pay Lynn
= 1 p - 2 u
= 44 - 2 x 19
= 44 - 38
= $6

(b)
Amount that Fiona needed to pay Winnie
= (1 p + 7) - 2 u
= (44 + 7) - 2 x 19
= 51 - 38
= $13

Answer(s): (a) $6; (b) $13