Gillian and Wendy have some money. If Gillian spends $11, she will have
35 as much money as Wendy. If Wendy spends $12, Gillian will have
56 as much money as Wendy. How much money does Wendy have?
| |
Case 1 |
Case 2 |
| |
Gillian |
Wendy |
Gillian |
Wendy |
| Before |
3 u + $11 |
5 u |
5 p |
6 p + $12 |
| Change |
- $11 |
|
|
- $12 |
| After |
3 u |
5 u |
5 p |
6 p |
The amount that Gillian has at first in Case 1 and Case 2 is the same.
3 u + 11 = 5 p
3 u = 5 p - 11 --- (1)
The amount that Wendy has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 12 --- (2)
Make u the same.
(1)
x 515 u = 25 p - 55 --- (3)
(2)
x 315 u = 18 p + 36 --- (4)
(3) = (4)
25 p - 55 = 18 p + 36
25 p - 18 p = 55 + 36
7 p = 91
1 p = 91 ÷ 7 = 13
Amount that Wendy has
= 6 p + 12
= 6 x 13 + 12
= 78 + 12
= $90
Answer(s): $90
