Jane had $495 more than Hazel. Jane gave
23 of her money to Hazel. Hazel then gave 20% of her money to Jane. In the end, Hazel had $255 more than Jane. How much did Jane have at first?
| |
Jane |
Hazel |
Comparing Jane
and Hazel at first |
495 more |
|
| Before |
3 u |
+ 495 |
3 u |
|
| Change 1 |
- 2 u |
- 330 |
+ 2 u |
+ 330 |
| After 1 |
1 u |
+ 165 |
5 u |
+ 330 |
| Change 2 |
+ 1 u |
+ 66 |
- 1 u |
- 66 |
| After 2 |
2 u |
+ 231 |
4 u |
+ 264 |
23 x 495= 330
495 - 330 = 165
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 330
=
20100 x 330
= 66
330 - 66 = 264
165 + 66 = 231
If Jane received another $255 in the end, Jane and Hazel would have the same amount of money.
4 u + 264 = 2 u + 231 + 255
4 u - 2 u = 231 + 255 - 264
2 u = 222
1 u = 222 ÷ 2 = 111
Amount that Jane had at first
= 3 u + 495
= 3 x 111 + 495
= 333 + 495
= $828
Answer(s): $828
