Japheth had $440 more money than David at first. After Japheth spent
12 of his money to buy a vest and David spent
14 of his money to buy a blazer, they had a total of $410 left. How much more did the vest cost than the blazer?
|
Japheth |
David |
Comparing Japheth and David at first |
$440 more |
|
Before |
2x2 |
$440 |
4x1 |
Change |
- 1x2 |
- $220 |
- 1x1 |
After |
1x2 |
$220 |
3x1 |
|
Japheth |
David |
Before |
4 u + $440 |
4 u |
Change |
- 2 u - $220 |
- 1 u |
After |
2 u + $220 |
3 u |
LCM of 2 and 4 = 4
12 x 440 = 220
440 - 220 = 220
Total amount that Japheth and David had in the end
= 2 u + 220 + 3 u
= 5 u + 220
5 u + 220 = 410
5 u = 410 - 220
5 u = 190
1 u = 190 ÷ 5 = 38
Amount paid more for the vest than the blazer
= (2 u + 220) - 1 u
= 2 u - 1 u + 220
= 1 u + 220
= (1 x 38) + 220
= 38 + 220
= $258
Answer(s): $258