Warren had $404 more money than Vaidev at first. After Warren spent
12 of his money to buy a blazer and Vaidev spent
13 of his money to buy a coat, they had a total of $489 left. How much more did the blazer cost than the coat?
|
Warren |
Vaidev |
Comparing Warren and Vaidev at first |
$404 more |
|
Before |
2x3 |
$404 |
3x2 |
Change |
- 1x3 |
- $202 |
- 1x2 |
After |
1x3 |
$202 |
2x2 |
|
Warren |
Vaidev |
Before |
6 u + $404 |
6 u |
Change |
- 3 u - $202 |
- 2 u |
After |
3 u + $202 |
4 u |
LCM of 2 and 3 = 6
12 x 404 = 202
404 - 202 = 202
Total amount that Warren and Vaidev had in the end
= 3 u + 202 + 4 u
= 7 u + 202
7 u + 202 = 489
7 u = 489 - 202
7 u = 287
1 u = 287 ÷ 7 = 41
Amount paid more for the blazer than the coat
= (3 u + 202) - 2 u
= 3 u - 2 u + 202
= 1 u + 202
= (1 x 41) + 202
= 41 + 202
= $243
Answer(s): $243