Roshel and Kimberly have some money. If Roshel spends $3, she will have
34 as much money as Kimberly. If Kimberly spends $4, Roshel will have
78 as much money as Kimberly. How much money does Kimberly have?
| |
Case 1 |
Case 2 |
| |
Roshel |
Kimberly |
Roshel |
Kimberly |
| Before |
3 u + $3 |
4 u |
7 p |
8 p + $4 |
| Change |
- $3 |
|
|
- $4 |
| After |
3 u |
4 u |
7 p |
8 p |
The amount that Roshel has at first in Case 1 and Case 2 is the same.
3 u + 3 = 7 p
3 u = 7 p - 3 --- (1)
The amount that Kimberly has at first in Case 1 and Case 2 is the same.
4 u = 8 p + 4 --- (2)
Make u the same.
(1)
x 412 u = 28 p - 12 --- (3)
(2)
x 312 u = 24 p + 12 --- (4)
(3) = (4)
28 p - 12 = 24 p + 12
28 p - 24 p = 12 + 12
4 p = 24
1 p = 24 ÷ 4 = 6
Amount that Kimberly has
= 8 p + 4
= 8 x 6 + 4
= 48 + 4
= $52
Answer(s): $52
