Yen and Winnie have some money. If Yen spends $6, she will have
34 as much money as Winnie. If Winnie spends $3, Yen will have
67 as much money as Winnie. How much money does Yen have?
| |
Case 1 |
Case 2 |
| |
Yen |
Winnie |
Yen |
Winnie |
| Before |
3 u + $6 |
4 u |
6 p |
7 p + $3 |
| Change |
- $6 |
|
|
- $3 |
| After |
3 u |
4 u |
6 p |
7 p |
The amount that Yen 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 Winnie has at first in Case 1 and Case 2 is the same.
4 u = 7 p + 3 --- (2)
Make u the same.
(1)
x 412 u = 24 p - 24 --- (3)
(2)
x 312 u = 21 p + 9 --- (4)
(3) = (4)
24 p - 24 = 21 p + 9
24 p - 21 p = 24 + 9
3 p = 33
1 p = 33 ÷ 3 = 11
Amount that Yen has
= 6 p
= 6 x 11
= $66
Answer(s): $66
