Dana had $255 more than Abi. Dana gave
23 of her money to Abi. Abi then gave 20% of her money to Dana. In the end, Abi had $109 more than Dana. How much did Dana have at first?
| |
Dana |
Abi |
Comparing Dana
and Abi at first |
255 more |
|
| Before |
3 u |
+ 255 |
3 u |
|
| Change 1 |
- 2 u |
- 170 |
+ 2 u |
+ 170 |
| After 1 |
1 u |
+ 85 |
5 u |
+ 170 |
| Change 2 |
+ 1 u |
+ 34 |
- 1 u |
- 34 |
| After 2 |
2 u |
+ 119 |
4 u |
+ 136 |
23 x 255= 170
255 - 170 = 85
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 170
=
20100 x 170
= 34
170 - 34 = 136
85 + 34 = 119
If Dana received another $109 in the end, Dana and Abi would have the same amount of money.
4 u + 136 = 2 u + 119 + 109
4 u - 2 u = 119 + 109 - 136
2 u = 92
1 u = 92 ÷ 2 = 46
Amount that Dana had at first
= 3 u + 255
= 3 x 46 + 255
= 138 + 255
= $393
Answer(s): $393
