Xylia, Jade, Tammy and Fiona went to buy a gift for their older brother. They shared the cost equally among themselves. However, Fiona forgot to bring her money. So, the other 3 girls paid for the gift first. Tammy paid ⁵₁₁ of the amount Xylia and Jade paid. Jade paid $8 more than Xylia. The next day, Fiona returned $10 to Tammy and some money to Xylia and Jade. How much did Fiona return to

1. Xylia?
2. Jade?

	Xylia	Jade	Tammy	Fiona	Total
Comparing the amounts 3 girls paid first	11 u		5 u		16 u
Comparing the amounts 2 girls paid first	1 p	1 p + 8
Amounts that each girl paid for Fiona first	- ?	- ?	- 10	+ 10 + ?
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 Tammy paid 
= 5 u - 4 u
= 1 u

1 u = 10

Total amount that Xylia and Jade paid at first
= 11 u
= 11 x 10
= $110

1 p + 1 p + 8 = 110
2 p = 110 - 8
2 p = 102

1 p = 102 ÷ 2 = 51

Amount that Fiona needed to pay Xylia
= 1 p - 4 u
= 51 - 4 x 10
= 51 - 40
= $11

(b)
Amount that Fiona needed to pay Jade
= (1 p + 8) - 4 u
= (51 + 8) - 4 x 10
= 59 - 40
= $19

Answer(s): (a) $11; (b) $19