Japheth had $392 more money than Elijah at first. After Japheth spent
34 of his money to buy a coat and Elijah spent
15 of his money to buy a dress, they had a total of $455 left. How much more did the coat cost than the dress?
|
Japheth |
Elijah |
Comparing Japheth and Elijah at first |
$392 more |
|
Before |
4x5 |
$392 |
5x4 |
Change |
- 3x5 |
- $294 |
- 1x4 |
After |
1x5 |
$98 |
4x4 |
|
Japheth |
Elijah |
Before |
20 u + $392 |
20 u |
Change |
- 15 u - $294 |
- 4 u |
After |
5 u + $98 |
16 u |
LCM of 4 and 5 = 20
34 x 392 = 294
392 - 294 = 98
Total amount that Japheth and Elijah had in the end
= 5 u + 98 + 16 u
= 21 u + 98
21 u + 98 = 455
21 u = 455 - 98
21 u = 357
1 u = 357 ÷ 21 = 17
Amount paid more for the coat than the dress
= (15 u + 294) - 4 u
= 15 u - 4 u + 294
= 11 u + 294
= (11 x 17) + 294
= 187 + 294
= $481
Answer(s): $481