Shiyun had $135 more than Diana. Shiyun gave
23 of her money to Diana. Diana then gave 20% of her money to Shiyun. In the end, Shiyun had $269 less than Diana. How much did Shiyun have at first?
| |
Shiyun |
Diana |
| Comparing Shiyun and Diana at first |
135 more |
|
| Before |
3 u |
+ 135 |
3 u |
|
| Change 1 |
- 2 u |
- 90 |
+ 2 u |
+ 90 |
| After 1 |
1 u |
+ 45 |
5 u |
+ 90 |
| Change 2 |
+ 1 u |
+ 18 |
- 1 u |
- 18 |
| After 2 |
2 u |
+ 63 |
4 u |
+ 72 |
23 x 135= 90
135 - 90 = 45
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 90
=
20100 x 90
= 18
90 - 18 = 72
45 + 18 = 63
If Shiyun received another $269 in the end, Shiyun and Diana would have the same amount of money.
4 u + 72 = 2 u + 63 + 269
4 u - 2 u = 63 + 269 - 72
2 u = 260
1 u = 260 ÷ 2 = 130
Amount that Shiyun had at first
= 3 u + 135
= 3 x 130 + 135
= 390 + 135
= $525
Answer(s): $525
