Julie and Raeann have some money. If Julie spends $13, she will have
25 as much money as Raeann. If Raeann spends $8, Julie will have
58 as much money as Raeann. How much money does Julie have?
| |
Case 1 |
Case 2 |
| |
Julie |
Raeann |
Julie |
Raeann |
| Before |
2 u + $13 |
5 u |
5 p |
8 p + $8 |
| Change |
- $13 |
|
|
- $8 |
| After |
2 u |
5 u |
5 p |
8 p |
The amount that Julie has at first in Case 1 and Case 2 is the same.
2 u + 13 = 5 p
2 u = 5 p - 13 --- (1)
The amount that Raeann has at first in Case 1 and Case 2 is the same.
5 u = 8 p + 8 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 65 --- (3)
(2)
x 210 u = 16 p + 16 --- (4)
(3) = (4)
25 p - 65 = 16 p + 16
25 p - 16 p = 65 + 16
9 p = 81
1 p = 81 ÷ 9 = 9
Amount that Julie has
= 5 p
= 5 x 9
= $45
Answer(s): $45
