Caden had $414 more money than Fabian at first. After Caden spent
23 of his money to buy a blazer and Fabian spent
14 of his money to buy a jacket, they had a total of $424 left. How much more did the blazer cost than the jacket?
|
Caden |
Fabian |
Comparing Caden and Fabian at first |
$414 more |
|
Before |
3x4 |
$414 |
4x3 |
Change |
- 2x4 |
- $276 |
- 1x3 |
After |
1x4 |
$138 |
3x3 |
|
Caden |
Fabian |
Before |
12 u + 414 |
12 u |
Change |
- 8 u - 276 |
- 3 u |
After |
4 u + 138 |
9 u |
LCM of 3 and 4 = 12
23 x 414 = 276
414 - 276 = 138
Total amount that Caden and Fabian had in the end
= 4 u + 138 + 9 u
= 13 u + 138
13 u + 138 = 424
13 u = 424 - 138
13 u = 286
1 u = 286 ÷ 13 = 22
Amount paid more for the blazer than the jacket
= (8 u + 276) - 3 u
= 8 u - 3 u + 276
= 5 u + 276
= (5 x 22) + 276
= 110 + 276
= $386
Answer(s): $386