Michael had $56 more than Emma. After Michael spent 25% of his money and Emma spent 75% of her money, they still had $370 left altogether.
- How much did Michael have left in the end?
- Express the amount of money Emma had left as a fraction of the amount of money Michael had in the end. (Give your answer in the simplest form)
| |
Michael |
Emma |
| Before |
4 u + 56 |
4 u |
| Change |
- 1 u - 14 |
- 3 u |
| After |
3 u + 42 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Michael and Emma had in the end
= 3 u + 42 + 1 u
= 4 u + 42
4 u + 42 = 370
3 u + 1 u = 370 - 42
4 u = 328
1 u = 328 ÷ 4 = 82
Amount that Michael had in the end
= 3 u + 42
= 3 x 82 + 42
= 246 + 42
= $288
(b)
Amount that the Emma had in the end
= 1 u
= $82
Fraction of the amount that Emma had left as a fraction of the amount that Michael had in the end
=
82288=
41144 Answer(s): (a) $288; (b)
41144 
