Harry had $250 more money than Warren at first. After Harry spent
12 of his money to buy a skirt and Warren spent
13 of his money to buy a blazer, they had a total of $524 left. How much more did the skirt cost than the blazer?
|
Harry |
Warren |
Comparing Harry and Warren at first |
$250 more |
|
Before |
2x3 |
$250 |
3x2 |
Change |
- 1x3 |
- $125 |
- 1x2 |
After |
1x3 |
$125 |
2x2 |
|
Harry |
Warren |
Before |
6 u + $250 |
6 u |
Change |
- 3 u - $125 |
- 2 u |
After |
3 u + $125 |
4 u |
LCM of 2 and 3 = 6
12 x 250 = 125
250 - 125 = 125
Total amount that Harry and Warren had in the end
= 3 u + 125 + 4 u
= 7 u + 125
7 u + 125 = 524
7 u = 524 - 125
7 u = 399
1 u = 399 ÷ 7 = 57
Amount paid more for the skirt than the blazer
= (3 u + 125) - 2 u
= 3 u - 2 u + 125
= 1 u + 125
= (1 x 57) + 125
= 57 + 125
= $182
Answer(s): $182