Hilda and Lynn had $165. Lynn had $41 more than Hilda. Hilda spent 3 times as much as Lynn and was left with
25 as much as Lynn. How much did Lynn spend less than Hilda?
| |
Make p the same
(1) x 5 = (3) |
Hilda
(1) |
Lynn
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Hilda
and Lynn at first |
|
|
$41 more |
|
$165 |
| Before |
$310 |
$62 |
$103 |
$206 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Hilda had at first
= (165 - 41) ÷ 2
= 124 ÷ 2
= $62
Amount that Lynn had at first
= 62 + 41
= $103
62 - 3 u = 2 p --- (1)
103 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
310 - 15 u =
10 p --- (3)
(2)
x 2
206 - 2 u =
10 p --- (4)
(4) = (3)
206 - 2 u = 310 - 15 u
15 u - 2 u = 310 - 206
13 u = 104
1 u = 104 ÷ 13 = 8
Amount that Lynn spent less than Hilda
= 3 u - 1 u
= 2 u
= 2 x 8
= $16
Answer(s): $16
