Roshel and Xylia have some money. If Roshel spends $4, she will have
25 as much money as Xylia. If Xylia spends $23, Roshel will have
57 as much money as Xylia. How much money does Roshel have?
| |
Case 1 |
Case 2 |
| |
Roshel |
Xylia |
Roshel |
Xylia |
| Before |
2 u + $4 |
5 u |
5 p |
7 p + $23 |
| Change |
- $4 |
|
|
- $23 |
| After |
2 u |
5 u |
5 p |
7 p |
The amount that Roshel has at first in Case 1 and Case 2 is the same.
2 u + 4 = 5 p
2 u = 5 p - 4 --- (1)
The amount that Xylia has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 23 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 20 --- (3)
(2)
x 210 u = 14 p + 46 --- (4)
(3) = (4)
25 p - 20 = 14 p + 46
25 p - 14 p = 20 + 46
11 p = 66
1 p = 66 ÷ 11 = 6
Amount that Roshel has
= 5 p
= 5 x 6
= $30
Answer(s): $30
