Shiyun and Emma had $165. Emma had $3 more than Shiyun. Shiyun spent 3 times as much as Emma and was left with
34 as much as Emma. How much did Shiyun spend more than Emma?
| |
Make p the same
(1)x4 = (3) |
Shiyun
(1) |
Emma
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Shiyun
and Emma at first |
|
|
$3 more |
|
$165 |
| Before |
$324 |
$81 |
$84 |
$252 |
|
| Change |
- 12 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Shiyun had at first
= (165 - 3) ÷ 2
= 162 ÷ 2
= $81
Amount that Emma had at first
= 81 + 3
= $84
81 - 3 u = 3 p --- (1)
84 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
324 - 12 u =
12 p --- (3)
(2)
x 3
252 - 3 u =
12 p --- (4)
(4) = (3)
252 - 3 u = 324 - 12 u
12 u - 3 u = 324 - 252
9 u = 72
1 u = 72 ÷ 9 = 8
Amount that Shiyun spent more than Emma
= 3 u - 1 u
= 2 u
= 2 x 8
= $16
Answer(s): $16
