Fanny and Wendy had $122. Wendy had $30 more than Fanny. Fanny spent 3 times as much as Wendy and was left with
25 as much as Wendy. How much did Wendy spend less than Fanny?
| |
Make p the same
(1) x 5 = (3) |
Fanny
(1) |
Wendy
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Fanny
and Wendy at first |
|
|
$30 more |
|
$122 |
| Before |
$230 |
$46 |
$76 |
$152 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Fanny had at first
= (122 - 30) ÷ 2
= 92 ÷ 2
= $46
Amount that Wendy had at first
= 46 + 30
= $76
46 - 3 u = 2 p --- (1)
76 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
230 - 15 u =
10 p --- (3)
(2)
x 2
152 - 2 u =
10 p --- (4)
(4) = (3)
152 - 2 u = 230 - 15 u
15 u - 2 u = 230 - 152
13 u = 78
1 u = 78 ÷ 13 = 6
Amount that Wendy spent less than Fanny
= 3 u - 1 u
= 2 u
= 2 x 6
= $12
Answer(s): $12
