Ben had $270 more money than Fabian at first. After Ben spent
12 of his money to buy a coat and Fabian spent
14 of his money to buy a jacket, they had a total of $415 left. How much more did the coat cost than the jacket?
|
Ben |
Fabian |
Comparing Ben and Fabian at first |
$270 more |
|
Before |
2x2 |
$270 |
4x1 |
Change |
- 1x2 |
- $135 |
- 1x1 |
After |
1x2 |
$135 |
3x1 |
|
Ben |
Fabian |
Before |
4 u + $270 |
4 u |
Change |
- 2 u - $135 |
- 1 u |
After |
2 u + $135 |
3 u |
LCM of 2 and 4 = 4
12 x 270 = 135
270 - 135 = 135
Total amount that Ben and Fabian had in the end
= 2 u + 135 + 3 u
= 5 u + 135
5 u + 135 = 415
5 u = 415 - 135
5 u = 280
1 u = 280 ÷ 5 = 56
Amount paid more for the coat than the jacket
= (2 u + 135) - 1 u
= 2 u - 1 u + 135
= 1 u + 135
= (1 x 56) + 135
= 56 + 135
= $191
Answer(s): $191