Shiyun had $375 more than Cindy. Shiyun gave
23 of her money to Cindy. Cindy then gave 20% of her money to Shiyun. In the end, Cindy had $247 more than Shiyun. How much did Shiyun have at first?
| |
Shiyun |
Cindy |
Comparing Shiyun
and Cindy at first |
375 more |
|
| Before |
3 u |
+ 375 |
3 u |
|
| Change 1 |
- 2 u |
- 250 |
+ 2 u |
+ 250 |
| After 1 |
1 u |
+ 125 |
5 u |
+ 250 |
| Change 2 |
+ 1 u |
+ 50 |
- 1 u |
- 50 |
| After 2 |
2 u |
+ 175 |
4 u |
+ 200 |
23 x 375= 250
375 - 250 = 125
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 250
=
20100 x 250
= 50
250 - 50 = 200
125 + 50 = 175
If Shiyun received another $247 in the end, Shiyun and Cindy would have the same amount of money.
4 u + 200 = 2 u + 175 + 247
4 u - 2 u = 175 + 247 - 200
2 u = 222
1 u = 222 ÷ 2 = 111
Amount that Shiyun had at first
= 3 u + 375
= 3 x 111 + 375
= 333 + 375
= $708
Answer(s): $708
