Lynn and Gillian have some money. If Lynn spends $3, she will have
35 as much money as Gillian. If Gillian spends $13, Lynn will have
67 as much money as Gillian. How much money does Lynn have?
| |
Case 1 |
Case 2 |
| |
Lynn |
Gillian |
Lynn |
Gillian |
| Before |
3 u + $3 |
5 u |
6 p |
7 p + $13 |
| Change |
- $3 |
|
|
- $13 |
| After |
3 u |
5 u |
6 p |
7 p |
The amount that Lynn has at first in Case 1 and Case 2 is the same.
3 u + 3 = 6 p
3 u = 6 p - 3 --- (1)
The amount that Gillian has at first in Case 1 and Case 2 is the same.
5 u = 7 p + 13 --- (2)
Make u the same.
(1)
x 515 u = 30 p - 15 --- (3)
(2)
x 315 u = 21 p + 39 --- (4)
(3) = (4)
30 p - 15 = 21 p + 39
30 p - 21 p = 15 + 39
9 p = 54
1 p = 54 ÷ 9 = 6
Amount that Lynn has
= 6 p
= 6 x 6
= $36
Answer(s): $36
