Ivory, Kimberly, Min and Vanessa went to buy a souvenir for their mother. They shared the cost equally among themselves. However, Vanessa forgot to bring her money. So, the other 3 girls paid for the souvenir first. Min paid ⁷₉ of the amount Ivory and Kimberly paid. Kimberly paid $6 more than Ivory. The next day, Vanessa returned $24 to Min and some money to Ivory and Kimberly. How much did Vanessa return to

1. Ivory?
2. Kimberly?

	Ivory	Kimberly	Min	Vanessa	Total
Comparing the amounts 3 girls paid first	9 u		7 u		16 u
Comparing the amounts 2 girls paid first	1 p	1 p + 6
Amounts that each girl paid for Vanessa first	- ?	- ?	- 24	+ 24 + ?
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 Min paid 
= 7 u - 4 u
= 3 u

3 u = 24

1 u = 24 ÷ 3 = 8

Total amount that Ivory and Kimberly paid at first
= 9 u
= 9 x 8
= $72

1 p + 1 p + 6 = 72
2 p = 72 - 6
2 p = 66

1 p = 66 ÷ 2 = 33

Amount that Vanessa needed to pay Ivory
= 1 p - 4 u
= 33 - 4 x 8
= 33 - 32
= $1

(b)
Amount that Vanessa needed to pay Kimberly
= (1 p + 6) - 4 u
= (33 + 6) - 4 x 8
= 39 - 32
= $7

Answer(s): (a) $1; (b) $7