Difficulty: Medium

Average Score: 60%

The expression 6a + 4c represents the total price, in dollars, of admission to an air show for a adults and e children. On Saturday, 380 adults and 120 children paid admission to the air show.

What was the total price of admission for those people?

Rationale

$2,760

The total price of admission for those people is calculated based on the number of individuals and the price per person. In this scenario, the correct total reflects the multiplication of these variables, leading to the specified amount.

A ($524) YOUR ANSWER

This amount does not align with any reasonable calculation based on the given ticket prices and the likely number of attendees. It is far too low to represent a total for a group, suggesting a misunderstanding of the admission pricing structure.

B ($2,240) YOUR ANSWER

While this amount is higher than $524, it still fails to represent the total admission cost accurately. It suggests a calculation that either miscounts the number of attendees or underestimates the ticket price, leading to an incorrect total.

C ($2,760) CORRECT

This value correctly reflects the total admission cost based on the provided information. It is the result of multiplying the number of attendees by the admission price per person, making it the only option that correctly represents the total price.

D ($5,000) YOUR ANSWER

This total is excessively high for a reasonable admission price, indicating a significant overestimation of either the number of attendees or the price charged per ticket. Such an amount is unlikely to represent a typical group admission scenario.

E ($12,000) YOUR ANSWER

This figure is implausibly elevated and would imply a very large group or extremely high ticket prices. It does not accurately reflect the calculations associated with typical admission costs for a standard event, making it the least likely option.

Conclusion

The total price of admission calculated for the group correctly amounts to $2,760, based on the specified parameters. All other choices either underrepresent or overestimate the total based on an incorrect understanding of the ticket pricing or the number of individuals attending. Thus, understanding the relationship between these factors is crucial for arriving at the correct total.