Dylan had $252 more money than Sam at first. After Dylan spent
34 of his money to buy a blazer and Sam spent
15 of his money to buy a sweater, they had a total of $504 left. How much more did the blazer cost than the sweater?
|
Dylan |
Sam |
Comparing Dylan and Sam at first |
$252 more |
|
Before |
4x5 |
$252 |
5x4 |
Change |
- 3x5 |
- $189 |
- 1x4 |
After |
1x5 |
$63 |
4x4 |
|
Dylan |
Sam |
Before |
20 u + $252 |
20 u |
Change |
- 15 u - $189 |
- 4 u |
After |
5 u + $63 |
16 u |
LCM of 4 and 5 = 20
34 x 252 = 189
252 - 189 = 63
Total amount that Dylan and Sam had in the end
= 5 u + 63 + 16 u
= 21 u + 63
21 u + 63 = 504
21 u = 504 - 63
21 u = 441
1 u = 441 ÷ 21 = 21
Amount paid more for the blazer than the sweater
= (15 u + 189) - 4 u
= 15 u - 4 u + 189
= 11 u + 189
= (11 x 21) + 189
= 231 + 189
= $420
Answer(s): $420