Sean had $410 more money than Cody at first. After Sean spent
12 of his money to buy a blouse and Cody spent
13 of his money to buy a skirt, they had a total of $450 left. How much more did the blouse cost than the skirt?
|
Sean |
Cody |
Comparing Sean and Cody at first |
$410 more |
|
Before |
2x3 |
$410 |
3x2 |
Change |
- 1x3 |
- $205 |
- 1x2 |
After |
1x3 |
$205 |
2x2 |
|
Sean |
Cody |
Before |
6 u + $410 |
6 u |
Change |
- 3 u - $205 |
- 2 u |
After |
3 u + $205 |
4 u |
LCM of 2 and 3 = 6
12 x 410 = 205
410 - 205 = 205
Total amount that Sean and Cody had in the end
= 3 u + 205 + 4 u
= 7 u + 205
7 u + 205 = 450
7 u = 450 - 205
7 u = 245
1 u = 245 ÷ 7 = 35
Amount paid more for the blouse than the skirt
= (3 u + 205) - 2 u
= 3 u - 2 u + 205
= 1 u + 205
= (1 x 35) + 205
= 35 + 205
= $240
Answer(s): $240