Mark had $40 more than Linda. After Mark spent 25% of his money and Linda spent 75% of her money, they still had $290 left altogether.
- How much did Mark have left in the end?
- Express the amount of money Linda had left as a fraction of the amount of money Mark had in the end. (Give your answer in the simplest form)
|
Mark |
Linda |
Before |
4 u + 40 |
4 u |
Change |
- 1 u - 10 |
- 3 u |
After |
3 u + 30 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Mark and Linda had in the end
= 3 u + 30 + 1 u
= 4 u + 30
4 u + 30 = 290
3 u + 1 u = 290 - 30
4 u = 260
1 u = 260 ÷ 4 = 65
Amount that Mark had in the end
= 3 u + 30
= 3 x 65 + 30
= 195 + 30
= $225
(b)
Amount that the Linda had in the end
= 1 u
= $65
Fraction of the amount that Linda had left as a fraction of the amount that Mark had in the end
=
65225=
1345 Answer(s): (a) $225; (b)
1345