Howard had $298 more money than Oliver at first. After Howard spent
12 of his money to buy a coat and Oliver spent
14 of his money to buy a jacket, they had a total of $514 left. How much more did the coat cost than the jacket?
|
Howard |
Oliver |
Comparing Howard and Oliver at first |
$298 more |
|
Before |
2x2 |
$298 |
4x1 |
Change |
- 1x2 |
- $149 |
- 1x1 |
After |
1x2 |
$149 |
3x1 |
|
Howard |
Oliver |
Before |
4 u + $298 |
4 u |
Change |
- 2 u - $149 |
- 1 u |
After |
2 u + $149 |
3 u |
LCM of 2 and 4 = 4
12 x 298 = 149
298 - 149 = 149
Total amount that Howard and Oliver had in the end
= 2 u + 149 + 3 u
= 5 u + 149
5 u + 149 = 514
5 u = 514 - 149
5 u = 365
1 u = 365 ÷ 5 = 73
Amount paid more for the coat than the jacket
= (2 u + 149) - 1 u
= 2 u - 1 u + 149
= 1 u + 149
= (1 x 73) + 149
= 73 + 149
= $222
Answer(s): $222