The ratio of Roshel's money to Linda's money was 1 : 2. After Roshel spent thrice as much as Linda, Roshel and Linda had $7 and $39 left respectively. Find the amount of money each of the girls have at first.
- Roshel
- Linda
| |
Make u the same
(1)x2 = (3) |
Roshel
(1) |
Linda
(2) |
| Before |
2 u |
1 u |
2 u |
| Change |
- 6 p |
- 3 p |
- 1 p |
| After |
14 |
7 |
39 |
(a)
1 u - 3 p = 7
2 u = 7 + 3 p --- (1)
2 u - 1 p = 39
2 u = 39 + 1 p --- (2)
(1)
x2
2 u = 14 + 6 p --- (3)
(3) = (2)
14 + 6 p = 39 + 1 p
6 p - 1 p = 39 - 14
5 p = 25
1 p = 25 ÷ 5 = 5
Amount that Roshel had at first
= 7 + 3 p
= 7 + 3 x 5
= 7 + 15
= $22
(b)
Amount that Linda had at first
= 14 + 6 p
= 14 + 6 x 5
= 14 + 30
= $44
Answer(s): (a) $22; (b) $44
