Irene, Tammy, Victoria and Usha went to buy a present for their auntie. They shared the cost equally among themselves. However, Usha forgot to bring her money. So, the other 3 girls paid for the present first. Victoria paid ³₅ of the amount Irene and Tammy paid. Tammy paid $4 more than Irene. The next day, Usha returned $14 to Victoria and some money to Irene and Tammy. How much did Usha return to

1. Irene?
2. Tammy?

	Irene	Tammy	Victoria	Usha	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 Usha first	- ?	- ?	- 14	+ 14 + ?
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 Victoria paid 
= 3 u - 2 u
= 1 u

1 u = 14

Total amount that Irene and Tammy paid at first
= 5 u
= 5 x 14
= $70

1 p + 1 p + 4 = 70
2 p = 70 - 4
2 p = 66

1 p = 66 ÷ 2 = 33

Amount that Usha needed to pay Irene
= 1 p - 2 u
= 33 - 2 x 14
= 33 - 28
= $5

(b)
Amount that Usha needed to pay Tammy
= (1 p + 4) - 2 u
= (33 + 4) - 2 x 14
= 37 - 28
= $9

Answer(s): (a) $5; (b) $9