Ben had $294 more money than Carl at first. After Ben spent
12 of his money to buy a coat and Carl spent
13 of his money to buy a dress, they had a total of $413 left. How much more did the coat cost than the dress?
| |
Ben |
Carl |
Comparing Ben and
Carl at first |
$294 more |
|
| Before |
2x3 |
$294 |
3x2 |
| Change |
- 1x3 |
- $147 |
- 1x2 |
| After |
1x3 |
$147 |
2x2 |
| |
Ben |
Carl |
| Before |
6 u + $294 |
6 u |
| Change |
- 3 u - $147 |
- 2 u |
| After |
3 u + $147 |
4 u |
LCM of 2 and 3 = 6
12 x 294 = 147
294 - 147 = 147
Total amount that Ben and Carl had in the end
= 3 u + 147 + 4 u
= 7 u + 147
7 u + 147 = 413
7 u = 413 - 147
7 u = 266
1 u = 266 ÷ 7 = 38
Amount paid more for the coat than the dress
= (3 u + 147) - 2 u
= 3 u - 2 u + 147
= 1 u + 147
= (1 x 38) + 147
= 38 + 147
= $185
Answer(s): $185
