Perry had $498 more money than Jack at first. After Perry spent
12 of his money to buy a windbreaker and Jack spent
14 of his money to buy a jumpsuit, they had a total of $519 left. How much more did the windbreaker cost than the jumpsuit?
| |
Perry |
Jack |
Comparing Perry and
Jack at first |
$498 more |
|
| Before |
2x2 |
$498 |
4x1 |
| Change |
- 1x2 |
- $249 |
- 1x1 |
| After |
1x2 |
$249 |
3x1 |
| |
Perry |
Jack |
| Before |
4 u + $498 |
4 u |
| Change |
- 2 u - $249 |
- 1 u |
| After |
2 u + $249 |
3 u |
LCM of 2 and 4 = 4
12 x 498 = 249
498 - 249 = 249
Total amount that Perry and Jack had in the end
= 2 u + 249 + 3 u
= 5 u + 249
5 u + 249 = 519
5 u = 519 - 249
5 u = 270
1 u = 270 ÷ 5 = 54
Amount paid more for the windbreaker than the jumpsuit
= (2 u + 249) - 1 u
= 2 u - 1 u + 249
= 1 u + 249
= (1 x 54) + 249
= 54 + 249
= $303
Answer(s): $303
