Nora and Pamela have some money. If Nora spends $3, she will have
35 as much money as Pamela. If Pamela spends $23, Nora will have
56 as much money as Pamela. How much money does Nora have?
| |
Case 1 |
Case 2 |
| |
Nora |
Pamela |
Nora |
Pamela |
| Before |
3 u + $3 |
5 u |
5 p |
6 p + $23 |
| Change |
- $3 |
|
|
- $23 |
| After |
3 u |
5 u |
5 p |
6 p |
The amount that Nora has at first in Case 1 and Case 2 is the same.
3 u + 3 = 5 p
3 u = 5 p - 3 --- (1)
The amount that Pamela has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 23 --- (2)
Make u the same.
(1)
x 515 u = 25 p - 15 --- (3)
(2)
x 315 u = 18 p + 69 --- (4)
(3) = (4)
25 p - 15 = 18 p + 69
25 p - 18 p = 15 + 69
7 p = 84
1 p = 84 ÷ 7 = 12
Amount that Nora has
= 5 p
= 5 x 12
= $60
Answer(s): $60
