Julie, Winnie, Lynn and Mary went to buy a present for their grandmother. They shared the cost equally among themselves. However, Mary forgot to bring her money. So, the other 3 girls paid for the present first. Lynn paid ⁵₁₁ of the amount Julie and Winnie paid. Winnie paid $14 more than Julie. The next day, Mary returned $8 to Lynn and some money to Julie and Winnie. How much did Mary return to

1. Julie?
2. Winnie?

	Julie	Winnie	Lynn	Mary	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 + 14
Amounts that each girl paid for Mary first	- ?	- ?	- 8	+ 8 + ?
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 = 8

Total amount that Julie and Winnie paid at first
= 11 u
= 11 x 8
= $88

1 p + 1 p + 14 = 88
2 p = 88 - 14
2 p = 74

1 p = 74 ÷ 2 = 37

Amount that Mary needed to pay Julie
= 1 p - 4 u
= 37 - 4 x 8
= 37 - 32
= $5

(b)
Amount that Mary needed to pay Winnie
= (1 p + 14) - 4 u
= (37 + 14) - 4 x 8
= 51 - 32
= $19

Answer(s): (a) $5; (b) $19