Ian had $453 more money than Vaidev at first. After Ian spent
23 of his money to buy a shirt and Vaidev spent
14 of his money to buy a jacket, they had a total of $411 left. How much more did the shirt cost than the jacket?
| |
Ian |
Vaidev |
Comparing Ian and
Vaidev at first |
$453 more |
|
| Before |
3x4 |
$453 |
4x3 |
| Change |
- 2x4 |
- $302 |
- 1x3 |
| After |
1x4 |
$151 |
3x3 |
| |
Ian |
Vaidev |
| Before |
12 u + 453 |
12 u |
| Change |
- 8 u - 302 |
- 3 u |
| After |
4 u + 151 |
9 u |
LCM of 3 and 4 = 12
23 x 453 = 302
453 - 302 = 151
Total amount that Ian and Vaidev had in the end
= 4 u + 151 + 9 u
= 13 u + 151
13 u + 151 = 411
13 u = 411 - 151
13 u = 260
1 u = 260 ÷ 13 = 20
Amount paid more for the shirt than the jacket
= (8 u + 302) - 3 u
= 8 u - 3 u + 302
= 5 u + 302
= (5 x 20) + 302
= 100 + 302
= $402
Answer(s): $402
