Linda and Xuan had $177. Xuan had $23 more than Linda. Linda spent 4 times as much as Xuan and was left with
35 as much as Xuan. How much did Linda spend more than Xuan?
| |
Make p the same
(1)x5 = (3) |
Linda
(1) |
Xuan
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Linda
and Xuan at first |
|
|
$23 more |
|
$177 |
| Before |
$385 |
$77 |
$100 |
$300 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Linda had at first
= (177 - 23) ÷ 2
= 154 ÷ 2
= $77
Amount that Xuan had at first
= 77 + 23
= $100
77 - 4 u = 3 p --- (1)
100 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
385 - 20 u =
15 p --- (3)
(2)
x 3
300 - 3 u =
15 p --- (4)
(4) = (3)
300 - 3 u = 385 - 20 u
20 u - 3 u = 385 - 300
17 u = 85
1 u = 85 ÷ 17 = 5
Amount that Linda spent more than Xuan
= 4 u - 1 u
= 3 u
= 3 x 5
= $15
Answer(s): $15
