Luis had $436 more money than Rael at first. After Luis spent
34 of his money to buy a coat and Rael spent
15 of his money to buy a blouse, they had a total of $571 left. How much more did the coat cost than the blouse?
|
Luis |
Rael |
Comparing Luis and Rael at first |
$436 more |
|
Before |
4x5 |
$436 |
5x4 |
Change |
- 3x5 |
- $327 |
- 1x4 |
After |
1x5 |
$109 |
4x4 |
|
Luis |
Rael |
Before |
20 u + $436 |
20 u |
Change |
- 15 u - $327 |
- 4 u |
After |
5 u + $109 |
16 u |
LCM of 4 and 5 = 20
34 x 436 = 327
436 - 327 = 109
Total amount that Luis and Rael had in the end
= 5 u + 109 + 16 u
= 21 u + 109
21 u + 109 = 571
21 u = 571 - 109
21 u = 462
1 u = 462 ÷ 21 = 22
Amount paid more for the coat than the blouse
= (15 u + 327) - 4 u
= 15 u - 4 u + 327
= 11 u + 327
= (11 x 22) + 327
= 242 + 327
= $569
Answer(s): $569