Fabian had $450 more money than Michael at first. After Fabian spent
23 of his money to buy a coat and Michael spent
14 of his money to buy a dress, they had a total of $462 left. How much more did the coat cost than the dress?
| |
Fabian |
Michael |
Comparing Fabian and
Michael at first |
$450 more |
|
| Before |
3x4 |
$450 |
4x3 |
| Change |
- 2x4 |
- $300 |
- 1x3 |
| After |
1x4 |
$150 |
3x3 |
| |
Fabian |
Michael |
| Before |
12 u + 450 |
12 u |
| Change |
- 8 u - 300 |
- 3 u |
| After |
4 u + 150 |
9 u |
LCM of 3 and 4 = 12
23 x 450 = 300
450 - 300 = 150
Total amount that Fabian and Michael had in the end
= 4 u + 150 + 9 u
= 13 u + 150
13 u + 150 = 462
13 u = 462 - 150
13 u = 312
1 u = 312 ÷ 13 = 24
Amount paid more for the coat than the dress
= (8 u + 300) - 3 u
= 8 u - 3 u + 300
= 5 u + 300
= (5 x 24) + 300
= 120 + 300
= $420
Answer(s): $420
