Fanny, Tiffany, Penelope and Kimberly went to buy a gift for their older brother. They shared the cost equally among themselves. However, Kimberly forgot to bring her money. So, the other 3 girls paid for the gift first. Penelope paid ⁷₉ of the amount Fanny and Tiffany paid. Tiffany paid $2 more than Fanny. The next day, Kimberly returned $36 to Penelope and some money to Fanny and Tiffany. How much did Kimberly return to

1. Fanny?
2. Tiffany?

	Fanny	Tiffany	Penelope	Kimberly	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 Kimberly 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 Penelope paid 
= 7 u - 4 u
= 3 u

3 u = 36

1 u = 36 ÷ 3 = 12

Total amount that Fanny and Tiffany 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 Kimberly needed to pay Fanny
= 1 p - 4 u
= 53 - 4 x 12
= 53 - 48
= $5

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

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