Ben had $368 more money than Tim at first. After Ben spent
34 of his money to buy a vest and Tim spent
15 of his money to buy a jacket, they had a total of $407 left. How much more did the vest cost than the jacket?
| |
Ben |
Tim |
Comparing Ben and
Tim at first |
$368 more |
|
| Before |
4x5 |
$368 |
5x4 |
| Change |
- 3x5 |
- $276 |
- 1x4 |
| After |
1x5 |
$92 |
4x4 |
| |
Ben |
Tim |
| Before |
20 u + $368 |
20 u |
| Change |
- 15 u - $276 |
- 4 u |
| After |
5 u + $92 |
16 u |
LCM of 4 and 5 = 20
34 x 368 = 276
368 - 276 = 92
Total amount that Ben and Tim had in the end
= 5 u + 92 + 16 u
= 21 u + 92
21 u + 92 = 407
21 u = 407 - 92
21 u = 315
1 u = 315 ÷ 21 = 15
Amount paid more for the vest than the jacket
= (15 u + 276) - 4 u
= 15 u - 4 u + 276
= 11 u + 276
= (11 x 15) + 276
= 165 + 276
= $441
Answer(s): $441
