Liam had $32 more than Julie. After Liam spent 25% of his money and Julie spent 75% of her money, they still had $200 left altogether.
- How much did Liam have left in the end?
- Express the amount of money Julie had left as a fraction of the amount of money Liam had in the end. (Give your answer in the simplest form)
| |
Liam |
Julie |
| Before |
4 u + 32 |
4 u |
| Change |
- 1 u - 8 |
- 3 u |
| After |
3 u + 24 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Liam and Julie had in the end
= 3 u + 24 + 1 u
= 4 u + 24
4 u + 24 = 200
3 u + 1 u = 200 - 24
4 u = 176
1 u = 176 ÷ 4 = 44
Amount that Liam had in the end
= 3 u + 24
= 3 x 44 + 24
= 132 + 24
= $156
(b)
Amount that the Julie had in the end
= 1 u
= $44
Fraction of the amount that Julie had left as a fraction of the amount that Liam had in the end
=
44156=
1139 Answer(s): (a) $156; (b)
1139 
