Owen had $412 more money than Nick at first. After Owen spent
12 of his money to buy a blazer and Nick spent
14 of his money to buy a dress, they had a total of $481 left. How much more did the blazer cost than the dress?
|
Owen |
Nick |
Comparing Owen and Nick at first |
$412 more |
|
Before |
2x2 |
$412 |
4x1 |
Change |
- 1x2 |
- $206 |
- 1x1 |
After |
1x2 |
$206 |
3x1 |
|
Owen |
Nick |
Before |
4 u + $412 |
4 u |
Change |
- 2 u - $206 |
- 1 u |
After |
2 u + $206 |
3 u |
LCM of 2 and 4 = 4
12 x 412 = 206
412 - 206 = 206
Total amount that Owen and Nick had in the end
= 2 u + 206 + 3 u
= 5 u + 206
5 u + 206 = 481
5 u = 481 - 206
5 u = 275
1 u = 275 ÷ 5 = 55
Amount paid more for the blazer than the dress
= (2 u + 206) - 1 u
= 2 u - 1 u + 206
= 1 u + 206
= (1 x 55) + 206
= 55 + 206
= $261
Answer(s): $261