Bryan had $399 more money than John at first. After Bryan spent
23 of his money to buy a coat and John spent
14 of his money to buy a blazer, they had a total of $406 left. How much more did the coat cost than the blazer?
|
Bryan |
John |
Comparing Bryan and John at first |
$399 more |
|
Before |
3x4 |
$399 |
4x3 |
Change |
- 2x4 |
- $266 |
- 1x3 |
After |
1x4 |
$133 |
3x3 |
|
Bryan |
John |
Before |
12 u + 399 |
12 u |
Change |
- 8 u - 266 |
- 3 u |
After |
4 u + 133 |
9 u |
LCM of 3 and 4 = 12
23 x 399 = 266
399 - 266 = 133
Total amount that Bryan and John had in the end
= 4 u + 133 + 9 u
= 13 u + 133
13 u + 133 = 406
13 u = 406 - 133
13 u = 273
1 u = 273 ÷ 13 = 21
Amount paid more for the coat than the blazer
= (8 u + 266) - 3 u
= 8 u - 3 u + 266
= 5 u + 266
= (5 x 21) + 266
= 105 + 266
= $371
Answer(s): $371