Tiffany and Kimberly have some money. If Tiffany spends $1, she will have
35 as much money as Kimberly. If Kimberly spends $13, Tiffany will have
57 as much money as Kimberly. How much money does Tiffany have?
| |
Case 1 |
Case 2 |
| |
Tiffany |
Kimberly |
Tiffany |
Kimberly |
| Before |
3 u + $1 |
5 u |
5 p |
7 p + $13 |
| Change |
- $1 |
|
|
- $13 |
| After |
3 u |
5 u |
5 p |
7 p |
The amount that Tiffany has at first in Case 1 and Case 2 is the same.
3 u + 1 = 5 p
3 u = 5 p - 1 --- (1)
The amount that Kimberly has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 13 --- (2)
Make u the same.
(1)
x 515 u = 25 p - 5 --- (3)
(2)
x 315 u = 21 p + 39 --- (4)
(3) = (4)
25 p - 5 = 21 p + 39
25 p - 21 p = 5 + 39
4 p = 44
1 p = 44 ÷ 4 = 11
Amount that Tiffany has
= 5 p
= 5 x 11
= $55
Answer(s): $55
