Fanny and Xandra have some money. If Fanny spends $16, she will have
35 as much money as Xandra. If Xandra spends $6, Fanny will have
56 as much money as Xandra. How much money does Fanny have?
| |
Case 1 |
Case 2 |
| |
Fanny |
Xandra |
Fanny |
Xandra |
| Before |
3 u + $16 |
5 u |
5 p |
6 p + $6 |
| Change |
- $16 |
|
|
- $6 |
| 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 + 16 = 5 p
3 u = 5 p - 16 --- (1)
The amount that Xandra has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 6 --- (2)
Make u the same.
(1)
x 515 u = 25 p - 80 --- (3)
(2)
x 315 u = 18 p + 18 --- (4)
(3) = (4)
25 p - 80 = 18 p + 18
25 p - 18 p = 80 + 18
7 p = 98
1 p = 98 ÷ 7 = 14
Amount that Fanny has
= 5 p
= 5 x 14
= $70
Answer(s): $70
