Ken had $44 more than Risa. After Ken spent 25% of his money and Risa spent 75% of her money, they still had $209 left altogether.
- How much did Ken have left in the end?
- Express the amount of money Risa had left as a fraction of the amount of money Ken had in the end. (Give your answer in the simplest form)
|
Ken |
Risa |
Before |
4 u + 44 |
4 u |
Change |
- 1 u - 11 |
- 3 u |
After |
3 u + 33 |
1 u |
25% =
25100 =
14 75% =
75100 =
34Total amount that Ken and Risa had in the end
= 3 u + 33 + 1 u
= 4 u + 33
4 u + 33 = 209
3 u + 1 u = 209 - 33
4 u = 176
1 u = 176 ÷ 4 = 44
Amount that Ken had in the end
= 3 u + 33
= 3 x 44 + 33
= 132 + 33
= $165
(b)
Amount that the Risa had in the end
= 1 u
= $44
Fraction of the amount that Risa had left as a fraction of the amount that Ken had in the end
=
44165=
415 Answer(s): (a) $165; (b)
415