Marion and Elyse have some money. If Marion spends $3, she will have
34 as much money as Elyse. If Elyse spends $2, Marion will have
67 as much money as Elyse. How much money does Elyse have?
| |
Case 1 |
Case 2 |
| |
Marion |
Elyse |
Marion |
Elyse |
| Before |
3 u + $3 |
4 u |
6 p |
7 p + $2 |
| Change |
- $3 |
|
|
- $2 |
| After |
3 u |
4 u |
6 p |
7 p |
The amount that Marion has at first in Case 1 and Case 2 is the same.
3 u + 3 = 6 p
3 u = 6 p - 3 --- (1)
The amount that Elyse has at first in Case 1 and Case 2 is the same.
4 u = 7 p + 2 --- (2)
Make u the same.
(1)
x 412 u = 24 p - 12 --- (3)
(2)
x 312 u = 21 p + 6 --- (4)
(3) = (4)
24 p - 12 = 21 p + 6
24 p - 21 p = 12 + 6
3 p = 18
1 p = 18 ÷ 3 = 6
Amount that Elyse has
= 7 p + 2
= 7 x 6 + 2
= 42 + 2
= $44
Answer(s): $44
