Ethan had $324 more money than Dylan at first. After Ethan spent
12 of his money to buy a blazer and Dylan spent
13 of his money to buy a blouse, they had a total of $505 left. How much more did the blazer cost than the blouse?
|
Ethan |
Dylan |
Comparing Ethan and Dylan at first |
$324 more |
|
Before |
2x3 |
$324 |
3x2 |
Change |
- 1x3 |
- $162 |
- 1x2 |
After |
1x3 |
$162 |
2x2 |
|
Ethan |
Dylan |
Before |
6 u + $324 |
6 u |
Change |
- 3 u - $162 |
- 2 u |
After |
3 u + $162 |
4 u |
LCM of 2 and 3 = 6
12 x 324 = 162
324 - 162 = 162
Total amount that Ethan and Dylan had in the end
= 3 u + 162 + 4 u
= 7 u + 162
7 u + 162 = 505
7 u = 505 - 162
7 u = 343
1 u = 343 ÷ 7 = 49
Amount paid more for the blazer than the blouse
= (3 u + 162) - 2 u
= 3 u - 2 u + 162
= 1 u + 162
= (1 x 49) + 162
= 49 + 162
= $211
Answer(s): $211