Michael had $488 more money than Owen at first. After Michael spent
12 of his money to buy a blouse and Owen spent
13 of his money to buy a sweater, they had a total of $496 left. How much more did the blouse cost than the sweater?
|
Michael |
Owen |
Comparing Michael and Owen at first |
$488 more |
|
Before |
2x3 |
$488 |
3x2 |
Change |
- 1x3 |
- $244 |
- 1x2 |
After |
1x3 |
$244 |
2x2 |
|
Michael |
Owen |
Before |
6 u + $488 |
6 u |
Change |
- 3 u - $244 |
- 2 u |
After |
3 u + $244 |
4 u |
LCM of 2 and 3 = 6
12 x 488 = 244
488 - 244 = 244
Total amount that Michael and Owen had in the end
= 3 u + 244 + 4 u
= 7 u + 244
7 u + 244 = 496
7 u = 496 - 244
7 u = 252
1 u = 252 ÷ 7 = 36
Amount paid more for the blouse than the sweater
= (3 u + 244) - 2 u
= 3 u - 2 u + 244
= 1 u + 244
= (1 x 36) + 244
= 36 + 244
= $280
Answer(s): $280