Sarah and Kylie have some money. If Sarah spends $32, she will have
25 as much money as Kylie. If Kylie spends $11, Sarah will have
56 as much money as Kylie. How much money does Kylie have?
| |
Case 1 |
Case 2 |
| |
Sarah |
Kylie |
Sarah |
Kylie |
| Before |
2 u + $32 |
5 u |
5 p |
6 p + $11 |
| Change |
- $32 |
|
|
- $11 |
| After |
2 u |
5 u |
5 p |
6 p |
The amount that Sarah has at first in Case 1 and Case 2 is the same.
2 u + 32 = 5 p
2 u = 5 p - 32 --- (1)
The amount that Kylie has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 11 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 160 --- (3)
(2)
x 210 u = 12 p + 22 --- (4)
(3) = (4)
25 p - 160 = 12 p + 22
25 p - 12 p = 160 + 22
13 p = 182
1 p = 182 ÷ 13 = 14
Amount that Kylie has
= 6 p + 11
= 6 x 14 + 11
= 84 + 11
= $95
Answer(s): $95
