Peter had $302 more money than Harry at first. After Peter spent
12 of his money to buy a vest and Harry spent
13 of his money to buy a dress, they had a total of $529 left. How much more did the vest cost than the dress?
|
Peter |
Harry |
Comparing Peter and Harry at first |
$302 more |
|
Before |
2x3 |
$302 |
3x2 |
Change |
- 1x3 |
- $151 |
- 1x2 |
After |
1x3 |
$151 |
2x2 |
|
Peter |
Harry |
Before |
6 u + $302 |
6 u |
Change |
- 3 u - $151 |
- 2 u |
After |
3 u + $151 |
4 u |
LCM of 2 and 3 = 6
12 x 302 = 151
302 - 151 = 151
Total amount that Peter and Harry had in the end
= 3 u + 151 + 4 u
= 7 u + 151
7 u + 151 = 529
7 u = 529 - 151
7 u = 378
1 u = 378 ÷ 7 = 54
Amount paid more for the vest than the dress
= (3 u + 151) - 2 u
= 3 u - 2 u + 151
= 1 u + 151
= (1 x 54) + 151
= 54 + 151
= $205
Answer(s): $205