Oliver had $80 more than Sarah. After Oliver spent 25% of his money and Sarah spent 75% of her money, they still had $320 left altogether.
- How much did Oliver have left in the end?
- Express the amount of money Sarah had left as a fraction of the amount of money Oliver had in the end. (Give your answer in the simplest form)
|
Oliver |
Sarah |
Before |
4 u + 80 |
4 u |
Change |
- 1 u - 20 |
- 3 u |
After |
3 u + 60 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Oliver and Sarah had in the end
= 3 u + 60 + 1 u
= 4 u + 60
4 u + 60 = 320
3 u + 1 u = 320 - 60
4 u = 260
1 u = 260 ÷ 4 = 65
Amount that Oliver had in the end
= 3 u + 60
= 3 x 65 + 60
= 195 + 60
= $255
(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 Oliver had in the end
=
65255=
1351 Answer(s): (a) $255; (b)
1351