Jade, Tammy, Ivory and Vanessa went to buy a gift for their younger brother. They shared the cost equally among themselves. However, Vanessa forgot to bring her money. So, the other 3 girls paid for the gift first. Ivory paid ³₅ of the amount Jade and Tammy paid. Tammy paid $18 more than Jade. The next day, Vanessa returned $20 to Ivory and some money to Jade and Tammy. How much did Vanessa return to

1. Jade?
2. Tammy?

	Jade	Tammy	Ivory	Vanessa	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 + 18
Amounts that each girl paid for Vanessa first	- ?	- ?	- 20	+ 20 + ?
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 Ivory paid 
= 3 u - 2 u
= 1 u

1 u = 20

Total amount that Jade and Tammy paid at first
= 5 u
= 5 x 20
= $100

1 p + 1 p + 18 = 100
2 p = 100 - 18
2 p = 82

1 p = 82 ÷ 2 = 41

Amount that Vanessa needed to pay Jade
= 1 p - 2 u
= 41 - 2 x 20
= 41 - 40
= $1

(b)
Amount that Vanessa needed to pay Tammy
= (1 p + 18) - 2 u
= (41 + 18) - 2 x 20
= 59 - 40
= $19

Answer(s): (a) $1; (b) $19