Ken had $248 more money than Ryan at first. After Ken spent
34 of his money to buy a blouse and Ryan spent
15 of his money to buy a shirt, they had a total of $587 left. How much more did the blouse cost than the shirt?
|
Ken |
Ryan |
Comparing Ken and Ryan at first |
$248 more |
|
Before |
4x5 |
$248 |
5x4 |
Change |
- 3x5 |
- $186 |
- 1x4 |
After |
1x5 |
$62 |
4x4 |
|
Ken |
Ryan |
Before |
20 u + $248 |
20 u |
Change |
- 15 u - $186 |
- 4 u |
After |
5 u + $62 |
16 u |
LCM of 4 and 5 = 20
34 x 248 = 186
248 - 186 = 62
Total amount that Ken and Ryan had in the end
= 5 u + 62 + 16 u
= 21 u + 62
21 u + 62 = 587
21 u = 587 - 62
21 u = 525
1 u = 525 ÷ 21 = 25
Amount paid more for the blouse than the shirt
= (15 u + 186) - 4 u
= 15 u - 4 u + 186
= 11 u + 186
= (11 x 25) + 186
= 275 + 186
= $461
Answer(s): $461