Erika, Xylia, Sabrina and Lynn went to buy a souvenir for their uncle. They shared the cost equally among themselves. However, Lynn forgot to bring her money. So, the other 3 girls paid for the souvenir first. Sabrina paid ⁵₁₁ of the amount Erika and Xylia paid. Xylia paid $5 more than Erika. The next day, Lynn returned $3 to Sabrina and some money to Erika and Xylia. How much did Lynn return to

1. Erika?
2. Xylia?

	Erika	Xylia	Sabrina	Lynn	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 + 5
Amounts that each girl paid for Lynn first	- ?	- ?	- 3	+ 3 + ?
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 Sabrina paid 
= 5 u - 4 u
= 1 u

1 u = 3

Total amount that Erika and Xylia paid at first
= 11 u
= 11 x 3
= $33

1 p + 1 p + 5 = 33
2 p = 33 - 5
2 p = 28

1 p = 28 ÷ 2 = 14

Amount that Lynn needed to pay Erika
= 1 p - 4 u
= 14 - 4 x 3
= 14 - 12
= $2

(b)
Amount that Lynn needed to pay Xylia
= (1 p + 5) - 4 u
= (14 + 5) - 4 x 3
= 19 - 12
= $7

Answer(s): (a) $2; (b) $7