Pierre had $20 more than Opal. After Pierre spent 25% of his money and Opal spent 75% of her money, they still had $327 left altogether.
- How much did Pierre have left in the end?
- Express the amount of money Opal had left as a fraction of the amount of money Pierre had in the end. (Give your answer in the simplest form)
| |
Pierre |
Opal |
| Before |
4 u + 20 |
4 u |
| Change |
- 1 u - 5 |
- 3 u |
| After |
3 u + 15 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Pierre and Opal had in the end
= 3 u + 15 + 1 u
= 4 u + 15
4 u + 15 = 327
3 u + 1 u = 327 - 15
4 u = 312
1 u = 312 ÷ 4 = 78
Amount that Pierre had in the end
= 3 u + 15
= 3 x 78 + 15
= 234 + 15
= $249
(b)
Amount that the Opal had in the end
= 1 u
= $78
Fraction of the amount that Opal had left as a fraction of the amount that Pierre had in the end
=
78249=
2683 Answer(s): (a) $249; (b)
2683 
