Wesley had $462 more money than Albert at first. After Wesley spent
23 of his money to buy a coat and Albert spent
15 of his money to buy a jacket, they had a total of $511 left. How much more did the coat cost than the jacket?
| |
Wesley |
Albert |
Comparing Wesley and
Albert at first |
462 more |
|
| Before |
3x5 |
462 |
5x3 |
| Change |
- 2x5 |
- 308 |
- 1x3 |
| After |
1x5 |
154 |
4x3 |
| |
Wesley |
Albert |
| Before |
15 u + 462 |
15 u |
| Change |
- 10 u - 308 |
- 3 u |
| After |
5 u + 154 |
12 u |
LCM of 3 and 5 = 15
23 x 462 = 308
462 - 308 = 154
Total amount that Wesley and Albert had in the end
= 5 u + 154 + 12 u
= 17 u + 154
17 u + 154 = 511
17 u = 511 - 154
17 u = 357
1 u = 357 ÷ 17 = 21
Amount paid more for the coat than the jacket
= (10 u + 308) - 3 u
= 10 u - 3 u + 308
= 7 u + 308
= (7 x 21) + 308
= 147 + 308
= $455
Answer: $455
