Victoria, Cathy, Jean and Tina went to buy a present for their father. They shared the cost equally among themselves. However, Tina forgot to bring her money. So, the other 3 girls paid for the present first. Jean paid ⁷₉ of the amount Victoria and Cathy paid. Cathy paid $7 more than Victoria. The next day, Tina returned $33 to Jean and some money to Victoria and Cathy. How much did Tina return to

1. Victoria?
2. Cathy?

	Victoria	Cathy	Jean	Tina	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 + 7
Amounts that each girl paid for Tina first	- ?	- ?	- 33	+ 33 + ?
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 Jean paid 
= 7 u - 4 u
= 3 u

3 u = 33

1 u = 33 ÷ 3 = 11

Total amount that Victoria and Cathy paid at first
= 9 u
= 9 x 11
= $99

1 p + 1 p + 7 = 99
2 p = 99 - 7
2 p = 92

1 p = 92 ÷ 2 = 46

Amount that Tina needed to pay Victoria
= 1 p - 4 u
= 46 - 4 x 11
= 46 - 44
= $2

(b)
Amount that Tina needed to pay Cathy
= (1 p + 7) - 4 u
= (46 + 7) - 4 x 11
= 53 - 44
= $9

Answer(s): (a) $2; (b) $9