Gillian and Xuan had $188. Xuan had $36 more than Gillian. Gillian spent 3 times as much as Xuan and was left with
25 as much as Xuan. How much did Gillian spend more than Xuan?
| |
Make p the same
(1)x5 = (3) |
Gillian
(1) |
Xuan
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Gillian
and Xuan at first |
|
|
$36 more |
|
$188 |
| Before |
$380 |
$76 |
$112 |
$224 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Gillian had at first
= (188 - 36) ÷ 2
= 152 ÷ 2
= $76
Amount that Xuan had at first
= 76 + 36
= $112
76 - 3 u = 2 p --- (1)
112 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
380 - 15 u =
10 p --- (3)
(2)
x 2
224 - 2 u =
10 p --- (4)
(4) = (3)
224 - 2 u = 380 - 15 u
15 u - 2 u = 380 - 224
13 u = 156
1 u = 156 ÷ 13 = 12
Amount that Gillian spent more than Xuan
= 3 u - 1 u
= 2 u
= 2 x 12
= $24
Answer(s): $24
