Oscar had $324 more money than Peter at first. After Oscar spent
12 of his money to buy a dress and Peter spent
14 of his money to buy a blouse, they had a total of $462 left. How much more did the dress cost than the blouse?
| |
Oscar |
Peter |
Comparing Oscar and
Peter at first |
$324 more |
|
| Before |
2x2 |
$324 |
4x1 |
| Change |
- 1x2 |
- $162 |
- 1x1 |
| After |
1x2 |
$162 |
3x1 |
| |
Oscar |
Peter |
| Before |
4 u + $324 |
4 u |
| Change |
- 2 u - $162 |
- 1 u |
| After |
2 u + $162 |
3 u |
LCM of 2 and 4 = 4
12 x 324 = 162
324 - 162 = 162
Total amount that Oscar and Peter had in the end
= 2 u + 162 + 3 u
= 5 u + 162
5 u + 162 = 462
5 u = 462 - 162
5 u = 300
1 u = 300 ÷ 5 = 60
Amount paid more for the dress than the blouse
= (2 u + 162) - 1 u
= 2 u - 1 u + 162
= 1 u + 162
= (1 x 60) + 162
= 60 + 162
= $222
Answer(s): $222
