Erika, Sarah, Zoe and Jaslyn went to buy a present for their grandmother. They shared the cost equally among themselves. However, Jaslyn forgot to bring her money. So, the other 3 girls paid for the present first. Zoe paid ⁵₁₁ of the amount Erika and Sarah paid. Sarah paid $5 more than Erika. The next day, Jaslyn returned $19 to Zoe and some money to Erika and Sarah. How much did Jaslyn return to

1. Erika?
2. Sarah?

	Erika	Sarah	Zoe	Jaslyn	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 Jaslyn first	- ?	- ?	- 19	+ 19 + ?
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 Zoe paid 
= 5 u - 4 u
= 1 u

1 u = 19

Total amount that Erika and Sarah paid at first
= 11 u
= 11 x 19
= $209

1 p + 1 p + 5 = 209
2 p = 209 - 5
2 p = 204

1 p = 204 ÷ 2 = 102

Amount that Jaslyn needed to pay Erika
= 1 p - 4 u
= 102 - 4 x 19
= 102 - 76
= $26

(b)
Amount that Jaslyn needed to pay Sarah
= (1 p + 5) - 4 u
= (102 + 5) - 4 x 19
= 107 - 76
= $31

Answer(s): (a) $26; (b) $31