Will had $495 more money than Brandon at first. After Will spent
23 of his money to buy a jacket and Brandon spent
15 of his money to buy a shirt, they had a total of $471 left. How much more did the jacket cost than the shirt?
|
Will |
Brandon |
Comparing Will and Brandon at first |
495 more |
|
Before |
3x5 |
495 |
5x3 |
Change |
- 2x5 |
- 330 |
- 1x3 |
After |
1x5 |
165 |
4x3 |
|
Will |
Brandon |
Before |
15 u + 495 |
15 u |
Change |
- 10 u - 330 |
- 3 u |
After |
5 u + 165 |
12 u |
LCM of 3 and 5 = 15
23 x 495 = 330
495 - 330 = 165
Total amount that Will and Brandon had in the end
= 5 u + 165 + 12 u
= 17 u + 165
17 u + 165 = 471
17 u = 471 - 165
17 u = 306
1 u = 306 ÷ 17 = 18
Amount paid more for the jacket than the shirt
= (10 u + 330) - 3 u
= 10 u - 3 u + 330
= 7 u + 330
= (7 x 18) + 330
= 126 + 330
= $456
Answer: $456