Tammy, Victoria, Elyse and Gillian went to buy a souvenir for their younger brother. They shared the cost equally among themselves. However, Gillian forgot to bring her money. So, the other 3 girls paid for the souvenir first. Elyse paid ⁵₁₁ of the amount Tammy and Victoria paid. Victoria paid $8 more than Tammy. The next day, Gillian returned $10 to Elyse and some money to Tammy and Victoria. How much did Gillian return to

1. Tammy?
2. Victoria?

	Tammy	Victoria	Elyse	Gillian	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 + 8
Amounts that each girl paid for Gillian first	- ?	- ?	- 10	+ 10 + ?
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 Elyse paid 
= 5 u - 4 u
= 1 u

1 u = 10

Total amount that Tammy and Victoria paid at first
= 11 u
= 11 x 10
= $110

1 p + 1 p + 8 = 110
2 p = 110 - 8
2 p = 102

1 p = 102 ÷ 2 = 51

Amount that Gillian needed to pay Tammy
= 1 p - 4 u
= 51 - 4 x 10
= 51 - 40
= $11

(b)
Amount that Gillian needed to pay Victoria
= (1 p + 8) - 4 u
= (51 + 8) - 4 x 10
= 59 - 40
= $19

Answer(s): (a) $11; (b) $19