Rachel and Lynn had $119. Lynn had $25 more than Rachel. Rachel spent 3 times as much as Lynn and was left with
25 as much as Lynn. How much did Lynn spend less than Rachel?
| |
Make p the same
(1) x 5 = (3) |
Rachel
(1) |
Lynn
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Rachel
and Lynn at first |
|
|
$25 more |
|
$119 |
| Before |
$235 |
$47 |
$72 |
$144 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Rachel had at first
= (119 - 25) ÷ 2
= 94 ÷ 2
= $47
Amount that Lynn had at first
= 47 + 25
= $72
47 - 3 u = 2 p --- (1)
72 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
235 - 15 u =
10 p --- (3)
(2)
x 2
144 - 2 u =
10 p --- (4)
(4) = (3)
144 - 2 u = 235 - 15 u
15 u - 2 u = 235 - 144
13 u = 91
1 u = 91 ÷ 13 = 7
Amount that Lynn spent less than Rachel
= 3 u - 1 u
= 2 u
= 2 x 7
= $14
Answer(s): $14
