Shiyun and Julie had $177. Julie had $35 more than Shiyun. Shiyun spent 3 times as much as Julie and was left with
25 as much as Julie. How much did Shiyun spend more than Julie?
| |
Make p the same
(1)x5 = (3) |
Shiyun
(1) |
Julie
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Shiyun
and Julie at first |
|
|
$35 more |
|
$177 |
| Before |
$355 |
$71 |
$106 |
$212 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Shiyun had at first
= (177 - 35) ÷ 2
= 142 ÷ 2
= $71
Amount that Julie had at first
= 71 + 35
= $106
71 - 3 u = 2 p --- (1)
106 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
355 - 15 u =
10 p --- (3)
(2)
x 2
212 - 2 u =
10 p --- (4)
(4) = (3)
212 - 2 u = 355 - 15 u
15 u - 2 u = 355 - 212
13 u = 143
1 u = 143 ÷ 13 = 11
Amount that Shiyun spent more than Julie
= 3 u - 1 u
= 2 u
= 2 x 11
= $22
Answer(s): $22
