Fiona, Jane, Yen and Kylie went to buy a present for their grandmother. They shared the cost equally among themselves. However, Kylie forgot to bring her money. So, the other 3 girls paid for the present first. Yen paid ⁵₁₁ of the amount Fiona and Jane paid. Jane paid $9 more than Fiona. The next day, Kylie returned $17 to Yen and some money to Fiona and Jane. How much did Kylie return to

1. Fiona?
2. Jane?

	Fiona	Jane	Yen	Kylie	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 + 9
Amounts that each girl paid for Kylie first	- ?	- ?	- 17	+ 17 + ?
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 Yen paid 
= 5 u - 4 u
= 1 u

1 u = 17

Total amount that Fiona and Jane paid at first
= 11 u
= 11 x 17
= $187

1 p + 1 p + 9 = 187
2 p = 187 - 9
2 p = 178

1 p = 178 ÷ 2 = 89

Amount that Kylie needed to pay Fiona
= 1 p - 4 u
= 89 - 4 x 17
= 89 - 68
= $21

(b)
Amount that Kylie needed to pay Jane
= (1 p + 9) - 4 u
= (89 + 9) - 4 x 17
= 98 - 68
= $30

Answer(s): (a) $21; (b) $30