Justin had $237 more money than Howard at first. After Justin spent
23 of his money to buy a coat and Howard spent
15 of his money to buy a blouse, they had a total of $487 left. How much more did the coat cost than the blouse?
| |
Justin |
Howard |
Comparing Justin and
Howard at first |
237 more |
|
| Before |
3x5 |
237 |
5x3 |
| Change |
- 2x5 |
- 158 |
- 1x3 |
| After |
1x5 |
79 |
4x3 |
| |
Justin |
Howard |
| Before |
15 u + 237 |
15 u |
| Change |
- 10 u - 158 |
- 3 u |
| After |
5 u + 79 |
12 u |
LCM of 3 and 5 = 15
23 x 237 = 158
237 - 158 = 79
Total amount that Justin and Howard had in the end
= 5 u + 79 + 12 u
= 17 u + 79
17 u + 79 = 487
17 u = 487 - 79
17 u = 408
1 u = 408 ÷ 17 = 24
Amount paid more for the coat than the blouse
= (10 u + 158) - 3 u
= 10 u - 3 u + 158
= 7 u + 158
= (7 x 24) + 158
= 168 + 158
= $326
Answer: $326
