Henry had $464 more money than Caden at first. After Henry spent
12 of his money to buy a vest and Caden spent
13 of his money to buy a blouse, they had a total of $470 left. How much more did the vest cost than the blouse?
|
Henry |
Caden |
Comparing Henry and Caden at first |
$464 more |
|
Before |
2x3 |
$464 |
3x2 |
Change |
- 1x3 |
- $232 |
- 1x2 |
After |
1x3 |
$232 |
2x2 |
|
Henry |
Caden |
Before |
6 u + $464 |
6 u |
Change |
- 3 u - $232 |
- 2 u |
After |
3 u + $232 |
4 u |
LCM of 2 and 3 = 6
12 x 464 = 232
464 - 232 = 232
Total amount that Henry and Caden had in the end
= 3 u + 232 + 4 u
= 7 u + 232
7 u + 232 = 470
7 u = 470 - 232
7 u = 238
1 u = 238 ÷ 7 = 34
Amount paid more for the vest than the blouse
= (3 u + 232) - 2 u
= 3 u - 2 u + 232
= 1 u + 232
= (1 x 34) + 232
= 34 + 232
= $266
Answer(s): $266