Hazel had $420 more than Lucy. Hazel gave
23 of her money to Lucy. Lucy then gave 20% of her money to Hazel. In the end, Hazel had $136 less than Lucy. How much did Hazel have at first?
| |
Hazel |
Lucy |
| Comparing Hazel and Lucy at first |
420 more |
|
| Before |
3 u |
+ 420 |
3 u |
|
| Change 1 |
- 2 u |
- 280 |
+ 2 u |
+ 280 |
| After 1 |
1 u |
+ 140 |
5 u |
+ 280 |
| Change 2 |
+ 1 u |
+ 56 |
- 1 u |
- 56 |
| After 2 |
2 u |
+ 196 |
4 u |
+ 224 |
23 x 420= 280
420 - 280 = 140
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 280
=
20100 x 280
= 56
280 - 56 = 224
140 + 56 = 196
If Hazel received another $136 in the end, Hazel and Lucy would have the same amount of money.
4 u + 224 = 2 u + 196 + 136
4 u - 2 u = 196 + 136 - 224
2 u = 108
1 u = 108 ÷ 2 = 54
Amount that Hazel had at first
= 3 u + 420
= 3 x 54 + 420
= 162 + 420
= $582
Answer(s): $582
