Min, Yoko, Roshel and Marion went to buy a souvenir for their auntie. They shared the cost equally among themselves. However, Marion forgot to bring her money. So, the other 3 girls paid for the souvenir first. Roshel paid ⁵₁₁ of the amount Min and Yoko paid. Yoko paid $10 more than Min. The next day, Marion returned $8 to Roshel and some money to Min and Yoko. How much did Marion return to

1. Min?
2. Yoko?

	Min	Yoko	Roshel	Marion	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 + 10
Amounts that each girl paid for Marion first	- ?	- ?	- 8	+ 8 + ?
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 Roshel paid 
= 5 u - 4 u
= 1 u

1 u = 8

Total amount that Min and Yoko paid at first
= 11 u
= 11 x 8
= $88

1 p + 1 p + 10 = 88
2 p = 88 - 10
2 p = 78

1 p = 78 ÷ 2 = 39

Amount that Marion needed to pay Min
= 1 p - 4 u
= 39 - 4 x 8
= 39 - 32
= $7

(b)
Amount that Marion needed to pay Yoko
= (1 p + 10) - 4 u
= (39 + 10) - 4 x 8
= 49 - 32
= $17

Answer(s): (a) $7; (b) $17