Vincent had $306 more money than Ivan at first. After Vincent spent
23 of his money to buy a windbreaker and Ivan spent
14 of his money to buy a dress, they had a total of $492 left. How much more did the windbreaker cost than the dress?
| |
Vincent |
Ivan |
Comparing Vincent and
Ivan at first |
$306 more |
|
| Before |
3x4 |
$306 |
4x3 |
| Change |
- 2x4 |
- $204 |
- 1x3 |
| After |
1x4 |
$102 |
3x3 |
| |
Vincent |
Ivan |
| Before |
12 u + 306 |
12 u |
| Change |
- 8 u - 204 |
- 3 u |
| After |
4 u + 102 |
9 u |
LCM of 3 and 4 = 12
23 x 306 = 204
306 - 204 = 102
Total amount that Vincent and Ivan had in the end
= 4 u + 102 + 9 u
= 13 u + 102
13 u + 102 = 492
13 u = 492 - 102
13 u = 390
1 u = 390 ÷ 13 = 30
Amount paid more for the windbreaker than the dress
= (8 u + 204) - 3 u
= 8 u - 3 u + 204
= 5 u + 204
= (5 x 30) + 204
= 150 + 204
= $354
Answer(s): $354
