Bryan had $327 more money than Flynn at first. After Bryan spent
23 of his money to buy a windbreaker and Flynn spent
14 of his money to buy a blazer, they had a total of $512 left. How much more did the windbreaker cost than the blazer?
| |
Bryan |
Flynn |
Comparing Bryan and
Flynn at first |
$327 more |
|
| Before |
3x4 |
$327 |
4x3 |
| Change |
- 2x4 |
- $218 |
- 1x3 |
| After |
1x4 |
$109 |
3x3 |
| |
Bryan |
Flynn |
| Before |
12 u + 327 |
12 u |
| Change |
- 8 u - 218 |
- 3 u |
| After |
4 u + 109 |
9 u |
LCM of 3 and 4 = 12
23 x 327 = 218
327 - 218 = 109
Total amount that Bryan and Flynn had in the end
= 4 u + 109 + 9 u
= 13 u + 109
13 u + 109 = 512
13 u = 512 - 109
13 u = 403
1 u = 403 ÷ 13 = 31
Amount paid more for the windbreaker than the blazer
= (8 u + 218) - 3 u
= 8 u - 3 u + 218
= 5 u + 218
= (5 x 31) + 218
= 155 + 218
= $373
Answer(s): $373
