Kimberly had $165 more than Emma. Kimberly gave
23 of her money to Emma. Emma then gave 20% of her money to Kimberly. In the end, Emma had $265 more than Kimberly. How much did Kimberly have at first?
| |
Kimberly |
Emma |
Comparing Kimberly
and Emma at first |
165 more |
|
| Before |
3 u |
+ 165 |
3 u |
|
| Change 1 |
- 2 u |
- 110 |
+ 2 u |
+ 110 |
| After 1 |
1 u |
+ 55 |
5 u |
+ 110 |
| Change 2 |
+ 1 u |
+ 22 |
- 1 u |
- 22 |
| After 2 |
2 u |
+ 77 |
4 u |
+ 88 |
23 x 165= 110
165 - 110 = 55
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 110
=
20100 x 110
= 22
110 - 22 = 88
55 + 22 = 77
If Kimberly received another $265 in the end, Kimberly and Emma would have the same amount of money.
4 u + 88 = 2 u + 77 + 265
4 u - 2 u = 77 + 265 - 88
2 u = 254
1 u = 254 ÷ 2 = 127
Amount that Kimberly had at first
= 3 u + 165
= 3 x 127 + 165
= 381 + 165
= $546
Answer(s): $546
