Esther, Tammy, Zoe and Kimberly went to buy a souvenir for their grandmother. They shared the cost equally among themselves. However, Kimberly forgot to bring her money. So, the other 3 girls paid for the souvenir first. Zoe paid ⁷₉ of the amount Esther and Tammy paid. Tammy paid $4 more than Esther. The next day, Kimberly returned $24 to Zoe and some money to Esther and Tammy. How much did Kimberly return to

1. Esther?
2. Tammy?

	Esther	Tammy	Zoe	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 + 4
Amounts that each girl paid for Kimberly first	- ?	- ?	- 24	+ 24 + ?
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 Zoe paid 
= 7 u - 4 u
= 3 u

3 u = 24

1 u = 24 ÷ 3 = 8

Total amount that Esther and Tammy paid at first
= 9 u
= 9 x 8
= $72

1 p + 1 p + 4 = 72
2 p = 72 - 4
2 p = 68

1 p = 68 ÷ 2 = 34

Amount that Kimberly needed to pay Esther
= 1 p - 4 u
= 34 - 4 x 8
= 34 - 32
= $2

(b)
Amount that Kimberly needed to pay Tammy
= (1 p + 4) - 4 u
= (34 + 4) - 4 x 8
= 38 - 32
= $6

Answer(s): (a) $2; (b) $6