Dana, Wendy, Betty and Kimberly went to buy a souvenir for their auntie. They shared the cost equally among themselves. However, Kimberly forgot to bring her money. So, the other 3 girls paid for the souvenir first. Betty paid ⁵₁₁ of the amount Dana and Wendy paid. Wendy paid $5 more than Dana. The next day, Kimberly returned $15 to Betty and some money to Dana and Wendy. How much did Kimberly return to

1. Dana?
2. Wendy?

	Dana	Wendy	Betty	Kimberly	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 Kimberly first	- ?	- ?	- 15	+ 15 + ?
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 Betty paid 
= 5 u - 4 u
= 1 u

1 u = 15

Total amount that Dana and Wendy paid at first
= 11 u
= 11 x 15
= $165

1 p + 1 p + 5 = 165
2 p = 165 - 5
2 p = 160

1 p = 160 ÷ 2 = 80

Amount that Kimberly needed to pay Dana
= 1 p - 4 u
= 80 - 4 x 15
= 80 - 60
= $20

(b)
Amount that Kimberly needed to pay Wendy
= (1 p + 5) - 4 u
= (80 + 5) - 4 x 15
= 85 - 60
= $25

Answer(s): (a) $20; (b) $25