Vanessa and Linda had $150. Linda had $12 more than Vanessa. Vanessa spent 4 times as much as Linda and was left with
35 as much as Linda. How much did Vanessa spend more than Linda?
| |
Make p the same
(1)x5 = (3) |
Vanessa
(1) |
Linda
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Vanessa
and Linda at first |
|
|
$12 more |
|
$150 |
| Before |
$345 |
$69 |
$81 |
$243 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Vanessa had at first
= (150 - 12) ÷ 2
= 138 ÷ 2
= $69
Amount that Linda had at first
= 69 + 12
= $81
69 - 4 u = 3 p --- (1)
81 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
345 - 20 u =
15 p --- (3)
(2)
x 3
243 - 3 u =
15 p --- (4)
(4) = (3)
243 - 3 u = 345 - 20 u
20 u - 3 u = 345 - 243
17 u = 102
1 u = 102 ÷ 17 = 6
Amount that Vanessa spent more than Linda
= 4 u - 1 u
= 3 u
= 3 x 6
= $18
Answer(s): $18
