Jaslyn and Lucy have some money. If Jaslyn spends $9, she will have
35 as much money as Lucy. If Lucy spends $6, Jaslyn will have
56 as much money as Lucy. How much money does Jaslyn have?
| |
Case 1 |
Case 2 |
| |
Jaslyn |
Lucy |
Jaslyn |
Lucy |
| Before |
3 u + $9 |
5 u |
5 p |
6 p + $6 |
| Change |
- $9 |
|
|
- $6 |
| After |
3 u |
5 u |
5 p |
6 p |
The amount that Jaslyn has at first in Case 1 and Case 2 is the same.
3 u + 9 = 5 p
3 u = 5 p - 9 --- (1)
The amount that Lucy has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 6 --- (2)
Make u the same.
(1)
x 515 u = 25 p - 45 --- (3)
(2)
x 315 u = 18 p + 18 --- (4)
(3) = (4)
25 p - 45 = 18 p + 18
25 p - 18 p = 45 + 18
7 p = 63
1 p = 63 ÷ 7 = 9
Amount that Jaslyn has
= 5 p
= 5 x 9
= $45
Answer(s): $45
