Natalie had $135 more than Diana. Natalie gave
23 of her money to Diana. Diana then gave 20% of her money to Natalie. In the end, Natalie had $249 less than Diana. How much did Natalie have at first?
| |
Natalie |
Diana |
| Comparing Natalie 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 Natalie received another $249 in the end, Natalie and Diana would have the same amount of money.
4 u + 72 = 2 u + 63 + 249
4 u - 2 u = 63 + 249 - 72
2 u = 240
1 u = 240 ÷ 2 = 120
Amount that Natalie had at first
= 3 u + 135
= 3 x 120 + 135
= 360 + 135
= $495
Answer(s): $495
