Yoko, Ivory, Mary and Gwen went to buy a souvenir for their cousin. They shared the cost equally among themselves. However, Gwen forgot to bring her money. So, the other 3 girls paid for the souvenir first. Mary paid ³₅ of the amount Yoko and Ivory paid. Ivory paid $4 more than Yoko. The next day, Gwen returned $20 to Mary and some money to Yoko and Ivory. How much did Gwen return to

1. Yoko?
2. Ivory?

	Yoko	Ivory	Mary	Gwen	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 + 4
Amounts that each girl paid for Gwen 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 Mary paid 
= 3 u - 2 u
= 1 u

1 u = 20

Total amount that Yoko and Ivory paid at first
= 5 u
= 5 x 20
= $100

1 p + 1 p + 4 = 100
2 p = 100 - 4
2 p = 96

1 p = 96 ÷ 2 = 48

Amount that Gwen needed to pay Yoko
= 1 p - 2 u
= 48 - 2 x 20
= 48 - 40
= $8

(b)
Amount that Gwen needed to pay Ivory
= (1 p + 4) - 2 u
= (48 + 4) - 2 x 20
= 52 - 40
= $12

Answer(s): (a) $8; (b) $12