Question 1 of 5
A concert venue sold tickets in advance for two seating sections: standard and premium. On one day, the venue sold tickets total and collected \4{,}560\ more than a standard ticket. If a standard ticket cost \30
Explanation
Since a standard ticket cost \30\. Let be the number of standard tickets and be the number of premium tickets. Then
and
Substitute into the revenue equation:
Simplify:
So, premium tickets were sold.
Concept summary
Model the situation with a system: one equation for the total number of items and one for the total cost. Then solve for the requested quantity.