Jade and Esther have some money. If Jade spends $19, she will have
35 as much money as Esther. If Esther spends $1, Jade will have
56 as much money as Esther. How much money does Jade have?
| |
Case 1 |
Case 2 |
| |
Jade |
Esther |
Jade |
Esther |
| Before |
3 u + $19 |
5 u |
5 p |
6 p + $1 |
| Change |
- $19 |
|
|
- $1 |
| After |
3 u |
5 u |
5 p |
6 p |
The amount that Jade has at first in Case 1 and Case 2 is the same.
3 u + 19 = 5 p
3 u = 5 p - 19 --- (1)
The amount that Esther has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 1 --- (2)
Make u the same.
(1)
x 515 u = 25 p - 95 --- (3)
(2)
x 315 u = 18 p + 3 --- (4)
(3) = (4)
25 p - 95 = 18 p + 3
25 p - 18 p = 95 + 3
7 p = 98
1 p = 98 ÷ 7 = 14
Amount that Jade has
= 5 p
= 5 x 14
= $70
Answer(s): $70
