Luis had $478 more money than Wesley at first. After Luis spent
12 of his money to buy a jacket and Wesley spent
13 of his money to buy a coat, they had a total of $575 left. How much more did the jacket cost than the coat?
|
Luis |
Wesley |
Comparing Luis and Wesley at first |
$478 more |
|
Before |
2x3 |
$478 |
3x2 |
Change |
- 1x3 |
- $239 |
- 1x2 |
After |
1x3 |
$239 |
2x2 |
|
Luis |
Wesley |
Before |
6 u + $478 |
6 u |
Change |
- 3 u - $239 |
- 2 u |
After |
3 u + $239 |
4 u |
LCM of 2 and 3 = 6
12 x 478 = 239
478 - 239 = 239
Total amount that Luis and Wesley had in the end
= 3 u + 239 + 4 u
= 7 u + 239
7 u + 239 = 575
7 u = 575 - 239
7 u = 336
1 u = 336 ÷ 7 = 48
Amount paid more for the jacket than the coat
= (3 u + 239) - 2 u
= 3 u - 2 u + 239
= 1 u + 239
= (1 x 48) + 239
= 48 + 239
= $287
Answer(s): $287