Tiffany, Risa, Yoko and Cindy went to buy a present for their uncle. They shared the cost equally among themselves. However, Cindy forgot to bring her money. So, the other 3 girls paid for the present first. Yoko paid ³₅ of the amount Tiffany and Risa paid. Risa paid $8 more than Tiffany. The next day, Cindy returned $20 to Yoko and some money to Tiffany and Risa. How much did Cindy return to

1. Tiffany?
2. Risa?

	Tiffany	Risa	Yoko	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 + 8
Amounts that each girl paid for Cindy 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 Yoko paid 
= 3 u - 2 u
= 1 u

1 u = 20

Total amount that Tiffany and Risa paid at first
= 5 u
= 5 x 20
= $100

1 p + 1 p + 8 = 100
2 p = 100 - 8
2 p = 92

1 p = 92 ÷ 2 = 46

Amount that Cindy needed to pay Tiffany
= 1 p - 2 u
= 46 - 2 x 20
= 46 - 40
= $6

(b)
Amount that Cindy needed to pay Risa
= (1 p + 8) - 2 u
= (46 + 8) - 2 x 20
= 54 - 40
= $14

Answer(s): (a) $6; (b) $14