Fabian had $24 more than Risa. After Fabian spent 25% of his money and Risa spent 75% of her money, they still had $270 left altogether.
- How much did Fabian have left in the end?
- Express the amount of money Risa had left as a fraction of the amount of money Fabian had in the end. (Give your answer in the simplest form)
|
Fabian |
Risa |
Before |
4 u + 24 |
4 u |
Change |
- 1 u - 6 |
- 3 u |
After |
3 u + 18 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Fabian and Risa had in the end
= 3 u + 18 + 1 u
= 4 u + 18
4 u + 18 = 270
3 u + 1 u = 270 - 18
4 u = 252
1 u = 252 ÷ 4 = 63
Amount that Fabian had in the end
= 3 u + 18
= 3 x 63 + 18
= 189 + 18
= $207
(b)
Amount that the Risa had in the end
= 1 u
= $63
Fraction of the amount that Risa had left as a fraction of the amount that Fabian had in the end
=
63207=
723 Answer(s): (a) $207; (b)
723