Xylia and Vanessa have some money. If Xylia spends $2, she will have
25 as much money as Vanessa. If Vanessa spends $43, Xylia will have
67 as much money as Vanessa. How much money does Xylia have?
| |
Case 1 |
Case 2 |
| |
Xylia |
Vanessa |
Xylia |
Vanessa |
| Before |
2 u + $2 |
5 u |
6 p |
7 p + $43 |
| Change |
- $2 |
|
|
- $43 |
| After |
2 u |
5 u |
6 p |
7 p |
The amount that Xylia has at first in Case 1 and Case 2 is the same.
2 u + 2 = 6 p
2 u = 6 p - 2 --- (1)
The amount that Vanessa has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 43 --- (2)
Make u the same.
(1)
x 510 u = 30 p - 10 --- (3)
(2)
x 210 u = 14 p + 86 --- (4)
(3) = (4)
30 p - 10 = 14 p + 86
30 p - 14 p = 10 + 86
16 p = 96
1 p = 96 ÷ 16 = 6
Amount that Xylia has
= 6 p
= 6 x 6
= $36
Answer(s): $36
