Paul had $100 more than Sarah. After Paul spent 25% of his money and Sarah spent 75% of her money, they still had $375 left altogether.
- How much did Paul have left in the end?
- Express the amount of money Sarah had left as a fraction of the amount of money Paul had in the end. (Give your answer in the simplest form)
| |
Paul |
Sarah |
| Before |
4 u + 100 |
4 u |
| Change |
- 1 u - 25 |
- 3 u |
| After |
3 u + 75 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Paul and Sarah had in the end
= 3 u + 75 + 1 u
= 4 u + 75
4 u + 75 = 375
3 u + 1 u = 375 - 75
4 u = 300
1 u = 300 ÷ 4 = 75
Amount that Paul had in the end
= 3 u + 75
= 3 x 75 + 75
= 225 + 75
= $300
(b)
Amount that the Sarah had in the end
= 1 u
= $75
Fraction of the amount that Sarah had left as a fraction of the amount that Paul had in the end
=
75300=
14 Answer(s): (a) $300; (b)
14 
