Question 23

The total price of admission for 380 adults and 120 children was $2,760.

To calculate the total price of admission, we use the expression 6a + 4c, where 'a' is the number of adults and 'c' is the number of children. Substituting a = 380 and c = 120 into the expression yields a total of $2,760.

A) $524

Option A is incorrect. This amount does not reflect the total price calculated from the expression provided, which would be significantly higher given the number of adults and children.

B) $2,240

Option B is also incorrect. While it is closer than Option A, it still does not match the total calculated from the expression with the provided values of adults and children.

C) $2,760

Option C is correct. By substituting the values of a and c into the expression 6a + 4c (6*380 + 4*120), we find that the total price of admission is indeed $2,760.

D) $5,000

Option D is incorrect. This value is much higher than the calculated total price, indicating a misunderstanding of the expression or miscalculation based on the numbers given.

E) $12,000

Option E is incorrect. This figure is excessively high and does not correspond to the calculation derived from the expression for the numbers of adults and children.

Conclusion

The correct answer is $2,760, as it accurately reflects the total price derived from the expression based on the number of adults and children attending the air show. All other options either underestimate or overestimate this total, demonstrating a failure to utilize the expression correctly.