Fred had $35 more than Zoe. After Fred spent 20% of his money and Zoe spent 70% of her money, they still had $358 left altogether.
- How much did Fred have left in the end?
- Express the amount of money Zoe had left as a fraction of the amount of money Fred had in the end. (Give your answer in the simplest form)
| |
Fred |
Zoe |
| Before |
10 u + 35 |
10 u |
| Change |
- 2 u - 7 |
- 7 u |
| After |
8 u + 28 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Fred and Zoe had in the end
= 8 u + 28 + 3 u
= 11 u + 28
11 u + 28 = 358
8 u + 3 u = 358 - 28
11 u = 330
1 u = 330 ÷ 11 = 30
Amount that Fred had in the end
= 8 u + 28
= 8 x 30 + 28
= 240 + 28
= $268
(b)
Amount that the Zoe had in the end
= 1 u
= $30
Fraction of the amount that Zoe had left as a fraction of the amount that Fred had in the end
=
30268=
15134 Answer(s): (a) $268; (b)
15134 
