Jenson had $28 more than Abi. After Jenson spent 25% of his money and Abi spent 75% of her money, they still had $213 left altogether.
- How much did Jenson have left in the end?
- Express the amount of money Abi had left as a fraction of the amount of money Jenson had in the end. (Give your answer in the simplest form)
|
Jenson |
Abi |
Before |
4 u + 28 |
4 u |
Change |
- 1 u - 7 |
- 3 u |
After |
3 u + 21 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Jenson and Abi had in the end
= 3 u + 21 + 1 u
= 4 u + 21
4 u + 21 = 213
3 u + 1 u = 213 - 21
4 u = 192
1 u = 192 ÷ 4 = 48
Amount that Jenson had in the end
= 3 u + 21
= 3 x 48 + 21
= 144 + 21
= $165
(b)
Amount that the Abi had in the end
= 1 u
= $48
Fraction of the amount that Abi had left as a fraction of the amount that Jenson had in the end
=
48165=
1655 Answer(s): (a) $165; (b)
1655