Raeann and Lynn have some money. If Raeann spends $10, she will have
25 as much money as Lynn. If Lynn spends $32, Raeann will have
78 as much money as Lynn. How much money does Lynn have?
| |
Case 1 |
Case 2 |
| |
Raeann |
Lynn |
Raeann |
Lynn |
| Before |
2 u + $10 |
5 u |
7 p |
8 p + $32 |
| Change |
- $10 |
|
|
- $32 |
| After |
2 u |
5 u |
7 p |
8 p |
The amount that Raeann has at first in Case 1 and Case 2 is the same.
2 u + 10 = 7 p
2 u = 7 p - 10 --- (1)
The amount that Lynn has at first in Case 1 and Case 2 is the same.
5 u = 8 p + 32 --- (2)
Make u the same.
(1)
x 510 u = 35 p - 50 --- (3)
(2)
x 210 u = 16 p + 64 --- (4)
(3) = (4)
35 p - 50 = 16 p + 64
35 p - 16 p = 50 + 64
19 p = 114
1 p = 114 ÷ 19 = 6
Amount that Lynn has
= 8 p + 32
= 8 x 6 + 32
= 48 + 32
= $80
Answer(s): $80
