Rael had $80 more than Olivium. After Rael spent 25% of his money and Olivium spent 75% of her money, they still had $332 left altogether.
- How much did Rael have left in the end?
- Express the amount of money Olivium had left as a fraction of the amount of money Rael had in the end. (Give your answer in the simplest form)
| |
Rael |
Olivium |
| 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 Rael and Olivium had in the end
= 3 u + 60 + 1 u
= 4 u + 60
4 u + 60 = 332
3 u + 1 u = 332 - 60
4 u = 272
1 u = 272 ÷ 4 = 68
Amount that Rael had in the end
= 3 u + 60
= 3 x 68 + 60
= 204 + 60
= $264
(b)
Amount that the Olivium had in the end
= 1 u
= $68
Fraction of the amount that Olivium had left as a fraction of the amount that Rael had in the end
=
68264=
1766 Answer(s): (a) $264; (b)
1766 
