Lynn, Kylie, Tina and Kathy went to buy a present for their father. They shared the cost equally among themselves. However, Kathy forgot to bring her money. So, the other 3 girls paid for the present first. Tina paid ⁷₉ of the amount Lynn and Kylie paid. Kylie paid $2 more than Lynn. The next day, Kathy returned $36 to Tina and some money to Lynn and Kylie. How much did Kathy return to

1. Lynn?
2. Kylie?

	Lynn	Kylie	Tina	Kathy	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 + 2
Amounts that each girl paid for Kathy 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 Tina paid 
= 7 u - 4 u
= 3 u

3 u = 36

1 u = 36 ÷ 3 = 12

Total amount that Lynn and Kylie paid at first
= 9 u
= 9 x 12
= $108

1 p + 1 p + 2 = 108
2 p = 108 - 2
2 p = 106

1 p = 106 ÷ 2 = 53

Amount that Kathy needed to pay Lynn
= 1 p - 4 u
= 53 - 4 x 12
= 53 - 48
= $5

(b)
Amount that Kathy needed to pay Kylie
= (1 p + 2) - 4 u
= (53 + 2) - 4 x 12
= 55 - 48
= $7

Answer(s): (a) $5; (b) $7