Hilda, Zara, Raeann and Jane went to buy a souvenir for their older sister. They shared the cost equally among themselves. However, Jane forgot to bring her money. So, the other 3 girls paid for the souvenir first. Raeann paid ⁷₉ of the amount Hilda and Zara paid. Zara paid $7 more than Hilda. The next day, Jane returned $33 to Raeann and some money to Hilda and Zara. How much did Jane return to

1. Hilda?
2. Zara?

	Hilda	Zara	Raeann	Jane	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 Jane 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 Raeann paid 
= 7 u - 4 u
= 3 u

3 u = 33

1 u = 33 ÷ 3 = 11

Total amount that Hilda and Zara 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 Jane needed to pay Hilda
= 1 p - 4 u
= 46 - 4 x 11
= 46 - 44
= $2

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

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