Tina, Natalie, Anna and Nora went to buy a gift for their younger brother. They shared the cost equally among themselves. However, Nora forgot to bring her money. So, the other 3 girls paid for the gift first. Anna paid ⁷₉ of the amount Tina and Natalie paid. Natalie paid $8 more than Tina. The next day, Nora returned $36 to Anna and some money to Tina and Natalie. How much did Nora return to

1. Tina?
2. Natalie?

	Tina	Natalie	Anna	Nora	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 + 8
Amounts that each girl paid for Nora first	- ?	- ?	- 36	+ 36 + ?
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 Anna paid 
= 7 u - 4 u
= 3 u

3 u = 36

1 u = 36 ÷ 3 = 12

Total amount that Tina and Natalie paid at first
= 9 u
= 9 x 12
= $108

1 p + 1 p + 8 = 108
2 p = 108 - 8
2 p = 100

1 p = 100 ÷ 2 = 50

Amount that Nora needed to pay Tina
= 1 p - 4 u
= 50 - 4 x 12
= 50 - 48
= $2

(b)
Amount that Nora needed to pay Natalie
= (1 p + 8) - 4 u
= (50 + 8) - 4 x 12
= 58 - 48
= $10

Answer(s): (a) $2; (b) $10