David had $366 more money than Jack at first. After David spent
12 of his money to buy a windbreaker and Jack spent
13 of his money to buy a blazer, they had a total of $533 left. How much more did the windbreaker cost than the blazer?
|
David |
Jack |
Comparing David and Jack at first |
$366 more |
|
Before |
2x3 |
$366 |
3x2 |
Change |
- 1x3 |
- $183 |
- 1x2 |
After |
1x3 |
$183 |
2x2 |
|
David |
Jack |
Before |
6 u + $366 |
6 u |
Change |
- 3 u - $183 |
- 2 u |
After |
3 u + $183 |
4 u |
LCM of 2 and 3 = 6
12 x 366 = 183
366 - 183 = 183
Total amount that David and Jack had in the end
= 3 u + 183 + 4 u
= 7 u + 183
7 u + 183 = 533
7 u = 533 - 183
7 u = 350
1 u = 350 ÷ 7 = 50
Amount paid more for the windbreaker than the blazer
= (3 u + 183) - 2 u
= 3 u - 2 u + 183
= 1 u + 183
= (1 x 50) + 183
= 50 + 183
= $233
Answer(s): $233