Victoria and Risa have some money. If Victoria spends $4, she will have
25 as much money as Risa. If Risa spends $11, Victoria will have
47 as much money as Risa. How much money does Victoria have?
| |
Case 1 |
Case 2 |
| |
Victoria |
Risa |
Victoria |
Risa |
| Before |
2 u + $4 |
5 u |
4 p |
7 p + $11 |
| Change |
- $4 |
|
|
- $11 |
| After |
2 u |
5 u |
4 p |
7 p |
The amount that Victoria has at first in Case 1 and Case 2 is the same.
2 u + 4 = 4 p
2 u = 4 p - 4 --- (1)
The amount that Risa has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 11 --- (2)
Make u the same.
(1)
x 510 u = 20 p - 20 --- (3)
(2)
x 210 u = 14 p + 22 --- (4)
(3) = (4)
20 p - 20 = 14 p + 22
20 p - 14 p = 20 + 22
6 p = 42
1 p = 42 ÷ 6 = 7
Amount that Victoria has
= 4 p
= 4 x 7
= $28
Answer(s): $28
