Vincent had $392 more money than Oliver at first. After Vincent spent
12 of his money to buy a shirt and Oliver spent
14 of his money to buy a jumpsuit, they had a total of $571 left. How much more did the shirt cost than the jumpsuit?
| |
Vincent |
Oliver |
Comparing Vincent and
Oliver at first |
$392 more |
|
| Before |
2x2 |
$392 |
4x1 |
| Change |
- 1x2 |
- $196 |
- 1x1 |
| After |
1x2 |
$196 |
3x1 |
| |
Vincent |
Oliver |
| Before |
4 u + $392 |
4 u |
| Change |
- 2 u - $196 |
- 1 u |
| After |
2 u + $196 |
3 u |
LCM of 2 and 4 = 4
12 x 392 = 196
392 - 196 = 196
Total amount that Vincent and Oliver had in the end
= 2 u + 196 + 3 u
= 5 u + 196
5 u + 196 = 571
5 u = 571 - 196
5 u = 375
1 u = 375 ÷ 5 = 75
Amount paid more for the shirt than the jumpsuit
= (2 u + 196) - 1 u
= 2 u - 1 u + 196
= 1 u + 196
= (1 x 75) + 196
= 75 + 196
= $271
Answer(s): $271
