Diana had $240 less than Barbara. Barbara gave
23 of her money to Diana. Diana then gave 20% of her money to Barbara. In the end, Barbara had $182 less than Diana. How much did Diana have at first?
| |
Barbara |
Diana |
| Comparing Barbara and Diana at first |
240 more |
|
| Before |
3 u |
+ 240 |
3 u |
|
| Change 1 |
- 2 u |
- 160 |
+ 2 u |
+ 160 |
| After 1 |
1 u |
+ 80 |
5 u |
+ 160 |
| Change 2 |
+ 1 u |
+ 32 |
- 1 u |
- 32 |
| After 2 |
2 u |
+ 112 |
4 u |
+ 128 |
23 x 240= 160
240 - 160 = 80
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 160
=
20100 x 160
= 32
160 - 32 = 128
80 + 32 = 112
If Barbara received another $182 in the end, Barbara and Diana would have the same amount of money.
4 u + 128 = 2 u + 112 + 182
4 u - 2 u = 112 + 182 - 128
2 u = 166
1 u = 166 ÷ 2 = 83
Amount that Diana had at first
= 3 u
= 3 x 83
= $249
Answer(s): $249
