Ivory, Tiffany, Diana and Lynn went to buy a present 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 present first. Diana paid ⁵₁₁ of the amount Ivory and Tiffany paid. Tiffany paid $2 more than Ivory. The next day, Lynn returned $4 to Diana and some money to Ivory and Tiffany. How much did Lynn return to

1. Ivory?
2. Tiffany?

	Ivory	Tiffany	Diana	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 + 2
Amounts that each girl paid for Lynn first	- ?	- ?	- 4	+ 4 + ?
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 Diana paid 
= 5 u - 4 u
= 1 u

1 u = 4

Total amount that Ivory and Tiffany paid at first
= 11 u
= 11 x 4
= $44

1 p + 1 p + 2 = 44
2 p = 44 - 2
2 p = 42

1 p = 42 ÷ 2 = 21

Amount that Lynn needed to pay Ivory
= 1 p - 4 u
= 21 - 4 x 4
= 21 - 16
= $5

(b)
Amount that Lynn needed to pay Tiffany
= (1 p + 2) - 4 u
= (21 + 2) - 4 x 4
= 23 - 16
= $7

Answer(s): (a) $5; (b) $7