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

1. Elyse?
2. Vanessa?

	Elyse	Vanessa	Jean	Kylie	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 + 3
Amounts that each girl paid for Kylie 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 Elyse and Vanessa paid at first
= 9 u
= 9 x 11
= $99

1 p + 1 p + 3 = 99
2 p = 99 - 3
2 p = 96

1 p = 96 ÷ 2 = 48

Amount that Kylie needed to pay Elyse
= 1 p - 4 u
= 48 - 4 x 11
= 48 - 44
= $4

(b)
Amount that Kylie needed to pay Vanessa
= (1 p + 3) - 4 u
= (48 + 3) - 4 x 11
= 51 - 44
= $7

Answer(s): (a) $4; (b) $7