Fred had $438 more money than Ian at first. After Fred spent
12 of his money to buy a jacket and Ian spent
14 of his money to buy a dress, they had a total of $524 left. How much more did the jacket cost than the dress?
| |
Fred |
Ian |
Comparing Fred and
Ian at first |
$438 more |
|
| Before |
2x2 |
$438 |
4x1 |
| Change |
- 1x2 |
- $219 |
- 1x1 |
| After |
1x2 |
$219 |
3x1 |
| |
Fred |
Ian |
| Before |
4 u + $438 |
4 u |
| Change |
- 2 u - $219 |
- 1 u |
| After |
2 u + $219 |
3 u |
LCM of 2 and 4 = 4
12 x 438 = 219
438 - 219 = 219
Total amount that Fred and Ian had in the end
= 2 u + 219 + 3 u
= 5 u + 219
5 u + 219 = 524
5 u = 524 - 219
5 u = 305
1 u = 305 ÷ 5 = 61
Amount paid more for the jacket than the dress
= (2 u + 219) - 1 u
= 2 u - 1 u + 219
= 1 u + 219
= (1 x 61) + 219
= 61 + 219
= $280
Answer(s): $280
