Natalie had $495 more than Jean. Natalie gave
23 of her money to Jean. Jean then gave 20% of her money to Natalie. In the end, Natalie had $209 less than Jean. How much did Natalie have at first?
| |
Natalie |
Jean |
| Comparing Natalie and Jean 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 Natalie received another $209 in the end, Natalie and Jean would have the same amount of money.
4 u + 264 = 2 u + 231 + 209
4 u - 2 u = 231 + 209 - 264
2 u = 176
1 u = 176 ÷ 2 = 88
Amount that Natalie had at first
= 3 u + 495
= 3 x 88 + 495
= 264 + 495
= $759
Answer(s): $759
