Bryan had $76 more than Opal. After Bryan spent 25% of his money and Opal spent 75% of her money, they still had $261 left altogether.
- How much did Bryan have left in the end?
- Express the amount of money Opal had left as a fraction of the amount of money Bryan had in the end. (Give your answer in the simplest form)
|
Bryan |
Opal |
Before |
4 u + 76 |
4 u |
Change |
- 1 u - 19 |
- 3 u |
After |
3 u + 57 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Bryan and Opal had in the end
= 3 u + 57 + 1 u
= 4 u + 57
4 u + 57 = 261
3 u + 1 u = 261 - 57
4 u = 204
1 u = 204 ÷ 4 = 51
Amount that Bryan had in the end
= 3 u + 57
= 3 x 51 + 57
= 153 + 57
= $210
(b)
Amount that the Opal had in the end
= 1 u
= $51
Fraction of the amount that Opal had left as a fraction of the amount that Bryan had in the end
=
51210=
1770 Answer(s): (a) $210; (b)
1770