Luke had $384 more money than Tom at first. After Luke spent
34 of his money to buy a coat and Tom spent
15 of his money to buy a blazer, they had a total of $474 left. How much more did the coat cost than the blazer?
|
Luke |
Tom |
Comparing Luke and Tom at first |
$384 more |
|
Before |
4x5 |
$384 |
5x4 |
Change |
- 3x5 |
- $288 |
- 1x4 |
After |
1x5 |
$96 |
4x4 |
|
Luke |
Tom |
Before |
20 u + $384 |
20 u |
Change |
- 15 u - $288 |
- 4 u |
After |
5 u + $96 |
16 u |
LCM of 4 and 5 = 20
34 x 384 = 288
384 - 288 = 96
Total amount that Luke and Tom had in the end
= 5 u + 96 + 16 u
= 21 u + 96
21 u + 96 = 474
21 u = 474 - 96
21 u = 378
1 u = 378 ÷ 21 = 18
Amount paid more for the coat than the blazer
= (15 u + 288) - 4 u
= 15 u - 4 u + 288
= 11 u + 288
= (11 x 18) + 288
= 198 + 288
= $486
Answer(s): $486