Zoe and Joelle have some money. If Zoe spends $17, she will have
25 as much money as Joelle. If Joelle spends $29, Zoe will have
56 as much money as Joelle. How much money does Joelle have?
| |
Case 1 |
Case 2 |
| |
Zoe |
Joelle |
Zoe |
Joelle |
| Before |
2 u + $17 |
5 u |
5 p |
6 p + $29 |
| Change |
- $17 |
|
|
- $29 |
| After |
2 u |
5 u |
5 p |
6 p |
The amount that Zoe has at first in Case 1 and Case 2 is the same.
2 u + 17 = 5 p
2 u = 5 p - 17 --- (1)
The amount that Joelle has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 29 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 85 --- (3)
(2)
x 210 u = 12 p + 58 --- (4)
(3) = (4)
25 p - 85 = 12 p + 58
25 p - 12 p = 85 + 58
13 p = 143
1 p = 143 ÷ 13 = 11
Amount that Joelle has
= 6 p + 29
= 6 x 11 + 29
= 66 + 29
= $95
Answer(s): $95
