Mark had $248 more money than Reggie at first. After Mark spent
12 of his money to buy a shirt and Reggie spent
13 of his money to buy a vest, they had a total of $586 left. How much more did the shirt cost than the vest?
|
Mark |
Reggie |
Comparing Mark and Reggie at first |
$248 more |
|
Before |
2x3 |
$248 |
3x2 |
Change |
- 1x3 |
- $124 |
- 1x2 |
After |
1x3 |
$124 |
2x2 |
|
Mark |
Reggie |
Before |
6 u + $248 |
6 u |
Change |
- 3 u - $124 |
- 2 u |
After |
3 u + $124 |
4 u |
LCM of 2 and 3 = 6
12 x 248 = 124
248 - 124 = 124
Total amount that Mark and Reggie had in the end
= 3 u + 124 + 4 u
= 7 u + 124
7 u + 124 = 586
7 u = 586 - 124
7 u = 462
1 u = 462 ÷ 7 = 66
Amount paid more for the shirt than the vest
= (3 u + 124) - 2 u
= 3 u - 2 u + 124
= 1 u + 124
= (1 x 66) + 124
= 66 + 124
= $190
Answer(s): $190