John had $208 more money than Caden at first. After John spent
34 of his money to buy a windbreaker and Caden spent
15 of his money to buy a blazer, they had a total of $451 left. How much more did the windbreaker cost than the blazer?
| |
John |
Caden |
Comparing John and
Caden at first |
$208 more |
|
| Before |
4x5 |
$208 |
5x4 |
| Change |
- 3x5 |
- $156 |
- 1x4 |
| After |
1x5 |
$52 |
4x4 |
| |
John |
Caden |
| Before |
20 u + $208 |
20 u |
| Change |
- 15 u - $156 |
- 4 u |
| After |
5 u + $52 |
16 u |
LCM of 4 and 5 = 20
34 x 208 = 156
208 - 156 = 52
Total amount that John and Caden had in the end
= 5 u + 52 + 16 u
= 21 u + 52
21 u + 52 = 451
21 u = 451 - 52
21 u = 399
1 u = 399 ÷ 21 = 19
Amount paid more for the windbreaker than the blazer
= (15 u + 156) - 4 u
= 15 u - 4 u + 156
= 11 u + 156
= (11 x 19) + 156
= 209 + 156
= $365
Answer(s): $365
