Zeph had $274 more money than Nick at first. After Zeph spent
12 of his money to buy a blazer and Nick spent
13 of his money to buy a windbreaker, they had a total of $438 left. How much more did the blazer cost than the windbreaker?
|
Zeph |
Nick |
Comparing Zeph and Nick at first |
$274 more |
|
Before |
2x3 |
$274 |
3x2 |
Change |
- 1x3 |
- $137 |
- 1x2 |
After |
1x3 |
$137 |
2x2 |
|
Zeph |
Nick |
Before |
6 u + $274 |
6 u |
Change |
- 3 u - $137 |
- 2 u |
After |
3 u + $137 |
4 u |
LCM of 2 and 3 = 6
12 x 274 = 137
274 - 137 = 137
Total amount that Zeph and Nick had in the end
= 3 u + 137 + 4 u
= 7 u + 137
7 u + 137 = 438
7 u = 438 - 137
7 u = 301
1 u = 301 ÷ 7 = 43
Amount paid more for the blazer than the windbreaker
= (3 u + 137) - 2 u
= 3 u - 2 u + 137
= 1 u + 137
= (1 x 43) + 137
= 43 + 137
= $180
Answer(s): $180