Luis had $306 more money than Harry at first. After Luis spent
23 of his money to buy a blazer and Harry spent
15 of his money to buy a skirt, they had a total of $527 left. How much more did the blazer cost than the skirt?
|
Luis |
Harry |
Comparing Luis and Harry at first |
306 more |
|
Before |
3x5 |
306 |
5x3 |
Change |
- 2x5 |
- 204 |
- 1x3 |
After |
1x5 |
102 |
4x3 |
|
Luis |
Harry |
Before |
15 u + 306 |
15 u |
Change |
- 10 u - 204 |
- 3 u |
After |
5 u + 102 |
12 u |
LCM of 3 and 5 = 15
23 x 306 = 204
306 - 204 = 102
Total amount that Luis and Harry had in the end
= 5 u + 102 + 12 u
= 17 u + 102
17 u + 102 = 527
17 u = 527 - 102
17 u = 425
1 u = 425 ÷ 17 = 25
Amount paid more for the blazer than the skirt
= (10 u + 204) - 3 u
= 10 u - 3 u + 204
= 7 u + 204
= (7 x 25) + 204
= 175 + 204
= $379
Answer: $379