Gillian and Linda had $180. Linda had $24 more than Gillian. Gillian spent 2 times as much as Linda and was left with
35 as much as Linda. How much did Gillian spend?
| |
Make p the same
(1)x5 = (3) |
Gillian
(1) |
Linda
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Gillian
and Linda at first |
|
|
$24 more |
|
$180 |
| Before |
$390 |
$78 |
$102 |
$306 |
|
| Change |
- 10 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Gillian had at first
= (180 - 24) ÷ 2
= 156 ÷ 2
= $78
Amount that Linda had at first
= 78 + 24
= $102
78 - 2 u = 3 p --- (1)
102 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
390 - 10 u =
15 p --- (3)
(2)
x 3
306 - 3 u =
15 p --- (4)
(4) = (3)
306 - 3 u = 390 - 10 u
10 u - 3 u = 390 - 306
7 u = 84
1 u = 84 ÷ 7 = 12
Amount that Gillian spent
= 2 u
= 2 x 12
= $24
Answer(s): $24
