Ian had $40 more than Sarah. After Ian spent 25% of his money and Sarah spent 75% of her money, they still had $290 left altogether.
- How much did Ian have left in the end?
- Express the amount of money Sarah had left as a fraction of the amount of money Ian had in the end. (Give your answer in the simplest form)
| |
Ian |
Sarah |
| Before |
4 u + 40 |
4 u |
| Change |
- 1 u - 10 |
- 3 u |
| After |
3 u + 30 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Ian and Sarah had in the end
= 3 u + 30 + 1 u
= 4 u + 30
4 u + 30 = 290
3 u + 1 u = 290 - 30
4 u = 260
1 u = 260 ÷ 4 = 65
Amount that Ian had in the end
= 3 u + 30
= 3 x 65 + 30
= 195 + 30
= $225
(b)
Amount that the Sarah had in the end
= 1 u
= $65
Fraction of the amount that Sarah had left as a fraction of the amount that Ian had in the end
=
65225=
1345 Answer(s): (a) $225; (b)
1345 
