Fanny and Lynn have some money. If Fanny spends $12, she will have
35 as much money as Lynn. If Lynn spends $8, Fanny will have
56 as much money as Lynn. How much money does Fanny have?
| |
Case 1 |
Case 2 |
| |
Fanny |
Lynn |
Fanny |
Lynn |
| Before |
3 u + $12 |
5 u |
5 p |
6 p + $8 |
| Change |
- $12 |
|
|
- $8 |
| After |
3 u |
5 u |
5 p |
6 p |
The amount that Fanny has at first in Case 1 and Case 2 is the same.
3 u + 12 = 5 p
3 u = 5 p - 12 --- (1)
The amount that Lynn has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 8 --- (2)
Make u the same.
(1)
x 515 u = 25 p - 60 --- (3)
(2)
x 315 u = 18 p + 24 --- (4)
(3) = (4)
25 p - 60 = 18 p + 24
25 p - 18 p = 60 + 24
7 p = 84
1 p = 84 ÷ 7 = 12
Amount that Fanny has
= 5 p
= 5 x 12
= $60
Answer(s): $60
