Jade and Fiona have some money. If Jade spends $9, she will have
25 as much money as Fiona. If Fiona spends $5, Jade will have
57 as much money as Fiona. How much money does Fiona have?
| |
Case 1 |
Case 2 |
| |
Jade |
Fiona |
Jade |
Fiona |
| Before |
2 u + $9 |
5 u |
5 p |
7 p + $5 |
| Change |
- $9 |
|
|
- $5 |
| After |
2 u |
5 u |
5 p |
7 p |
The amount that Jade has at first in Case 1 and Case 2 is the same.
2 u + 9 = 5 p
2 u = 5 p - 9 --- (1)
The amount that Fiona has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 5 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 45 --- (3)
(2)
x 210 u = 14 p + 10 --- (4)
(3) = (4)
25 p - 45 = 14 p + 10
25 p - 14 p = 45 + 10
11 p = 55
1 p = 55 ÷ 11 = 5
Amount that Fiona has
= 7 p + 5
= 7 x 5 + 5
= 35 + 5
= $40
Answer(s): $40
