Jean and Shiyun had $151. Shiyun had $3 more than Jean. Jean spent 4 times as much as Shiyun and was left with
34 as much as Shiyun. How much did Jean spend more than Shiyun?
| |
Make p the same
(1)x4 = (3) |
Jean
(1) |
Shiyun
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Jean
and Shiyun at first |
|
|
$3 more |
|
$151 |
| Before |
$296 |
$74 |
$77 |
$231 |
|
| Change |
- 16 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Jean had at first
= (151 - 3) ÷ 2
= 148 ÷ 2
= $74
Amount that Shiyun had at first
= 74 + 3
= $77
74 - 4 u = 3 p --- (1)
77 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
296 - 16 u =
12 p --- (3)
(2)
x 3
231 - 3 u =
12 p --- (4)
(4) = (3)
231 - 3 u = 296 - 16 u
16 u - 3 u = 296 - 231
13 u = 65
1 u = 65 ÷ 13 = 5
Amount that Jean spent more than Shiyun
= 4 u - 1 u
= 3 u
= 3 x 5
= $15
Answer(s): $15
