Jade and Shiyun have some money. If Jade spends $6, she will have
35 as much money as Shiyun. If Shiyun spends $20, Jade will have
67 as much money as Shiyun. How much money does Jade have?
| |
Case 1 |
Case 2 |
| |
Jade |
Shiyun |
Jade |
Shiyun |
| Before |
3 u + $6 |
5 u |
6 p |
7 p + $20 |
| Change |
- $6 |
|
|
- $20 |
| After |
3 u |
5 u |
6 p |
7 p |
The amount that Jade has at first in Case 1 and Case 2 is the same.
3 u + 6 = 6 p
3 u = 6 p - 6 --- (1)
The amount that Shiyun has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 20 --- (2)
Make u the same.
(1)
x 515 u = 30 p - 30 --- (3)
(2)
x 315 u = 21 p + 60 --- (4)
(3) = (4)
30 p - 30 = 21 p + 60
30 p - 21 p = 30 + 60
9 p = 90
1 p = 90 ÷ 9 = 10
Amount that Jade has
= 6 p
= 6 x 10
= $60
Answer(s): $60
