Barbara had $375 more than Hazel. Barbara gave
23 of her money to Hazel. Hazel then gave 20% of her money to Barbara. In the end, Barbara had $141 less than Hazel. How much did Barbara have at first?
| |
Barbara |
Hazel |
| Comparing Barbara and Hazel at first |
375 more |
|
| Before |
3 u |
+ 375 |
3 u |
|
| Change 1 |
- 2 u |
- 250 |
+ 2 u |
+ 250 |
| After 1 |
1 u |
+ 125 |
5 u |
+ 250 |
| Change 2 |
+ 1 u |
+ 50 |
- 1 u |
- 50 |
| After 2 |
2 u |
+ 175 |
4 u |
+ 200 |
23 x 375= 250
375 - 250 = 125
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 250
=
20100 x 250
= 50
250 - 50 = 200
125 + 50 = 175
If Barbara received another $141 in the end, Barbara and Hazel would have the same amount of money.
4 u + 200 = 2 u + 175 + 141
4 u - 2 u = 175 + 141 - 200
2 u = 116
1 u = 116 ÷ 2 = 58
Amount that Barbara had at first
= 3 u + 375
= 3 x 58 + 375
= 174 + 375
= $549
Answer(s): $549
