Linda and Victoria have some money. If Linda spends $6, she will have
35 as much money as Victoria. If Victoria spends $8, Linda will have
67 as much money as Victoria. How much money does Victoria have?
| |
Case 1 |
Case 2 |
| |
Linda |
Victoria |
Linda |
Victoria |
| Before |
3 u + $6 |
5 u |
6 p |
7 p + $8 |
| Change |
- $6 |
|
|
- $8 |
| After |
3 u |
5 u |
6 p |
7 p |
The amount that Linda has at first in Case 1 and Case 2 is the same.
3 u + 6 = 6 p
3 u = 6 p - 6 --- (1)
The amount that Victoria has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 8 --- (2)
Make u the same.
(1)
x 515 u = 30 p - 30 --- (3)
(2)
x 315 u = 21 p + 24 --- (4)
(3) = (4)
30 p - 30 = 21 p + 24
30 p - 21 p = 30 + 24
9 p = 54
1 p = 54 ÷ 9 = 6
Amount that Victoria has
= 7 p + 8
= 7 x 6 + 8
= 42 + 8
= $50
Answer(s): $50
