Xandra and Min have some money. If Xandra spends $27, she will have
25 as much money as Min. If Min spends $4, Xandra will have
57 as much money as Min. How much money does Min have?
| |
Case 1 |
Case 2 |
| |
Xandra |
Min |
Xandra |
Min |
| Before |
2 u + $27 |
5 u |
5 p |
7 p + $4 |
| Change |
- $27 |
|
|
- $4 |
| After |
2 u |
5 u |
5 p |
7 p |
The amount that Xandra has at first in Case 1 and Case 2 is the same.
2 u + 27 = 5 p
2 u = 5 p - 27 --- (1)
The amount that Min has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 4 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 135 --- (3)
(2)
x 210 u = 14 p + 8 --- (4)
(3) = (4)
25 p - 135 = 14 p + 8
25 p - 14 p = 135 + 8
11 p = 143
1 p = 143 ÷ 11 = 13
Amount that Min has
= 7 p + 4
= 7 x 13 + 4
= 91 + 4
= $95
Answer(s): $95
