Fiona, Vanessa, Jade and Cindy went to buy a present for their younger sister. They shared the cost equally among themselves. However, Cindy forgot to bring her money. So, the other 3 girls paid for the present first. Jade paid ³₅ of the amount Fiona and Vanessa paid. Vanessa paid $15 more than Fiona. The next day, Cindy returned $19 to Jade and some money to Fiona and Vanessa. How much did Cindy return to

1. Fiona?
2. Vanessa?

	Fiona	Vanessa	Jade	Cindy	Total
Comparing the amounts 3 girls paid first	5 u		3 u		8 u
Comparing the amounts 2 girls paid first	1 p	1 p + 15
Amounts that each girl paid for Cindy first	- ?	- ?	- 19	+ 19 + ?
Comparing the amounts each girl should pay	1x2 = 2 u	1x2 = 2 u	1x2 = 2 u	1x2 = 2 u	4x2 = 8 u

(a)
The total amount that the 4 girls paid is repeated. Make the total amount the same.  LCM of 4 and 8 is 8.

Extra amount that Jade paid 
= 3 u - 2 u
= 1 u

1 u = 19

Total amount that Fiona and Vanessa paid at first
= 5 u
= 5 x 19
= $95

1 p + 1 p + 15 = 95
2 p = 95 - 15
2 p = 80

1 p = 80 ÷ 2 = 40

Amount that Cindy needed to pay Fiona
= 1 p - 2 u
= 40 - 2 x 19
= 40 - 38
= $2

(b)
Amount that Cindy needed to pay Vanessa
= (1 p + 15) - 2 u
= (40 + 15) - 2 x 19
= 55 - 38
= $17

Answer(s): (a) $2; (b) $17