Fred had $100 more than Penelope. After Fred spent 25% of his money and Penelope spent 75% of her money, they still had $291 left altogether.
- How much did Fred have left in the end?
- Express the amount of money Penelope had left as a fraction of the amount of money Fred had in the end. (Give your answer in the simplest form)
| |
Fred |
Penelope |
| Before |
4 u + 100 |
4 u |
| Change |
- 1 u - 25 |
- 3 u |
| After |
3 u + 75 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Fred and Penelope had in the end
= 3 u + 75 + 1 u
= 4 u + 75
4 u + 75 = 291
3 u + 1 u = 291 - 75
4 u = 216
1 u = 216 ÷ 4 = 54
Amount that Fred had in the end
= 3 u + 75
= 3 x 54 + 75
= 162 + 75
= $237
(b)
Amount that the Penelope had in the end
= 1 u
= $54
Fraction of the amount that Penelope had left as a fraction of the amount that Fred had in the end
=
54237=
1879 Answer(s): (a) $237; (b)
1879 
