Linda and Tiffany have some money. If Linda spends $2, she will have
25 as much money as Tiffany. If Tiffany spends $25, Linda will have
47 as much money as Tiffany. How much money does Tiffany have?
| |
Case 1 |
Case 2 |
| |
Linda |
Tiffany |
Linda |
Tiffany |
| Before |
2 u + $2 |
5 u |
4 p |
7 p + $25 |
| Change |
- $2 |
|
|
- $25 |
| After |
2 u |
5 u |
4 p |
7 p |
The amount that Linda has at first in Case 1 and Case 2 is the same.
2 u + 2 = 4 p
2 u = 4 p - 2 --- (1)
The amount that Tiffany has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 25 --- (2)
Make u the same.
(1)
x 510 u = 20 p - 10 --- (3)
(2)
x 210 u = 14 p + 50 --- (4)
(3) = (4)
20 p - 10 = 14 p + 50
20 p - 14 p = 10 + 50
6 p = 60
1 p = 60 ÷ 6 = 10
Amount that Tiffany has
= 7 p + 25
= 7 x 10 + 25
= 70 + 25
= $95
Answer(s): $95
