Vanessa and Jane had $184. Jane had $12 more than Vanessa. Vanessa spent 4 times as much as Jane and was left with
35 as much as Jane. How much did Jane spend less than Vanessa?
| |
Make p the same
(1) x 5 = (3) |
Vanessa
(1) |
Jane
(2) |
Make p the same
(2) x 3 = (4) |
Total
|
Comparing Vanessa
and Jane at first |
|
|
$12 more |
|
$184 |
| Before |
$430 |
$86 |
$98 |
$294 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Vanessa had at first
= (184 - 12) ÷ 2
= 172 ÷ 2
= $86
Amount that Jane had at first
= 86 + 12
= $98
86 - 4 u = 3 p --- (1)
98 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
430 - 20 u =
15 p --- (3)
(2)
x 3
294 - 3 u =
15 p --- (4)
(4) = (3)
294 - 3 u = 430 - 20 u
20 u - 3 u = 430 - 294
17 u = 136
1 u = 136 ÷ 17 = 8
Amount that Jane spent less than Vanessa
= 4 u - 1 u
= 3 u
= 3 x 8
= $24
Answer(s): $24
