Victoria, Zoe, Kathy and Sabrina went to buy a gift for their younger sister. They shared the cost equally among themselves. However, Sabrina forgot to bring her money. So, the other 3 girls paid for the gift first. Kathy paid ⁵₁₁ of the amount Victoria and Zoe paid. Zoe paid $11 more than Victoria. The next day, Sabrina returned $11 to Kathy and some money to Victoria and Zoe. How much did Sabrina return to

1. Victoria?
2. Zoe?

	Victoria	Zoe	Kathy	Sabrina	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 + 11
Amounts that each girl paid for Sabrina first	- ?	- ?	- 11	+ 11 + ?
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 Kathy paid 
= 5 u - 4 u
= 1 u

1 u = 11

Total amount that Victoria and Zoe paid at first
= 11 u
= 11 x 11
= $121

1 p + 1 p + 11 = 121
2 p = 121 - 11
2 p = 110

1 p = 110 ÷ 2 = 55

Amount that Sabrina needed to pay Victoria
= 1 p - 4 u
= 55 - 4 x 11
= 55 - 44
= $11

(b)
Amount that Sabrina needed to pay Zoe
= (1 p + 11) - 4 u
= (55 + 11) - 4 x 11
= 66 - 44
= $22

Answer(s): (a) $11; (b) $22