Min and Gillian have some money. If Min spends $27, she will have
25 as much money as Gillian. If Gillian spends $4, Min will have
56 as much money as Gillian. How much money does Gillian have?
| |
Case 1 |
Case 2 |
| |
Min |
Gillian |
Min |
Gillian |
| Before |
2 u + $27 |
5 u |
5 p |
6 p + $4 |
| Change |
- $27 |
|
|
- $4 |
| After |
2 u |
5 u |
5 p |
6 p |
The amount that Min 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 Gillian has at first in Case 1 and Case 2 is the same.
5 u = 6 p + 4 --- (2)
Make u the same.
(1)
x 510 u = 25 p - 135 --- (3)
(2)
x 210 u = 12 p + 8 --- (4)
(3) = (4)
25 p - 135 = 12 p + 8
25 p - 12 p = 135 + 8
13 p = 143
1 p = 143 ÷ 13 = 11
Amount that Gillian has
= 6 p + 4
= 6 x 11 + 4
= 66 + 4
= $70
Answer(s): $70
