Jeremy had $326 more money than Ian at first. After Jeremy spent
12 of his money to buy a jacket and Ian spent
13 of his money to buy a dress, they had a total of $583 left. How much more did the jacket cost than the dress?
| |
Jeremy |
Ian |
Comparing Jeremy and
Ian at first |
$326 more |
|
| Before |
2x3 |
$326 |
3x2 |
| Change |
- 1x3 |
- $163 |
- 1x2 |
| After |
1x3 |
$163 |
2x2 |
| |
Jeremy |
Ian |
| Before |
6 u + $326 |
6 u |
| Change |
- 3 u - $163 |
- 2 u |
| After |
3 u + $163 |
4 u |
LCM of 2 and 3 = 6
12 x 326 = 163
326 - 163 = 163
Total amount that Jeremy and Ian had in the end
= 3 u + 163 + 4 u
= 7 u + 163
7 u + 163 = 583
7 u = 583 - 163
7 u = 420
1 u = 420 ÷ 7 = 60
Amount paid more for the jacket than the dress
= (3 u + 163) - 2 u
= 3 u - 2 u + 163
= 1 u + 163
= (1 x 60) + 163
= 60 + 163
= $223
Answer(s): $223
