Billy had $474 more money than Daniel at first. After Billy spent
12 of his money to buy a shirt and Daniel spent
14 of his money to buy a jacket, they had a total of $457 left. How much more did the shirt cost than the jacket?
| |
Billy |
Daniel |
Comparing Billy and
Daniel at first |
$474 more |
|
| Before |
2x2 |
$474 |
4x1 |
| Change |
- 1x2 |
- $237 |
- 1x1 |
| After |
1x2 |
$237 |
3x1 |
| |
Billy |
Daniel |
| Before |
4 u + $474 |
4 u |
| Change |
- 2 u - $237 |
- 1 u |
| After |
2 u + $237 |
3 u |
LCM of 2 and 4 = 4
12 x 474 = 237
474 - 237 = 237
Total amount that Billy and Daniel had in the end
= 2 u + 237 + 3 u
= 5 u + 237
5 u + 237 = 457
5 u = 457 - 237
5 u = 220
1 u = 220 ÷ 5 = 44
Amount paid more for the shirt than the jacket
= (2 u + 237) - 1 u
= 2 u - 1 u + 237
= 1 u + 237
= (1 x 44) + 237
= 44 + 237
= $281
Answer(s): $281
