Zara, Tammy, Emily and Hazel went to buy a present for their mother. They shared the cost equally among themselves. However, Hazel forgot to bring her money. So, the other 3 girls paid for the present first. Emily paid ⁷₉ of the amount Zara and Tammy paid. Tammy paid $8 more than Zara. The next day, Hazel returned $30 to Emily and some money to Zara and Tammy. How much did Hazel return to

1. Zara?
2. Tammy?

	Zara	Tammy	Emily	Hazel	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 Hazel first	- ?	- ?	- 30	+ 30 + ?
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 Emily paid 
= 7 u - 4 u
= 3 u

3 u = 30

1 u = 30 ÷ 3 = 10

Total amount that Zara and Tammy paid at first
= 9 u
= 9 x 10
= $90

1 p + 1 p + 8 = 90
2 p = 90 - 8
2 p = 82

1 p = 82 ÷ 2 = 41

Amount that Hazel needed to pay Zara
= 1 p - 4 u
= 41 - 4 x 10
= 41 - 40
= $1

(b)
Amount that Hazel needed to pay Tammy
= (1 p + 8) - 4 u
= (41 + 8) - 4 x 10
= 49 - 40
= $9

Answer(s): (a) $1; (b) $9