Mark had $80 more than Hazel. After Mark spent 25% of his money and Hazel spent 75% of her money, they still had $228 left altogether.
- How much did Mark have left in the end?
- Express the amount of money Hazel had left as a fraction of the amount of money Mark had in the end. (Give your answer in the simplest form)
|
Mark |
Hazel |
Before |
4 u + 80 |
4 u |
Change |
- 1 u - 20 |
- 3 u |
After |
3 u + 60 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Mark and Hazel had in the end
= 3 u + 60 + 1 u
= 4 u + 60
4 u + 60 = 228
3 u + 1 u = 228 - 60
4 u = 168
1 u = 168 ÷ 4 = 42
Amount that Mark had in the end
= 3 u + 60
= 3 x 42 + 60
= 126 + 60
= $186
(b)
Amount that the Hazel had in the end
= 1 u
= $42
Fraction of the amount that Hazel had left as a fraction of the amount that Mark had in the end
=
42186=
731 Answer(s): (a) $186; (b)
731