The expression 6a + 4c represents the total price, in dollars, of admission to an air show for a adults and c 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

The total price of admission for 380 adults and 120 children is 2760 dollars.

To find the total admission price, we substitute the values of adults (a = 380) and children (c = 120) into the expression 6a + 4c. This results in a total cost calculation of 6(380) + 4(120) = 2760 dollars.

A (524) YOUR ANSWER

This choice is significantly lower than the calculated total. It seems to represent a miscalculation, possibly from incorrect values or operations used in the expression. The expression clearly indicates that the total price must be higher given the number of attendees.

B (2240) YOUR ANSWER

This option is also too low and does not reflect the correct application of the formula. An error in calculations or a misunderstanding of the coefficients associated with adults and children might lead to this incorrect figure.

C (2760) CORRECT

This is the correct answer, as it accurately results from the substitution of the values into the expression 6(380) + 4(120) = 2760 dollars. This represents the total admission price for 380 adults and 120 children.

D (5000) YOUR ANSWER

This choice is excessively high and does not align with the calculations derived from the expression. It may stem from a misinterpretation of the admission costs assigned to each group of attendees.

E (12000) YOUR ANSWER

This option is unrealistically high and suggests a fundamental miscalculation or misunderstanding of the pricing structure. The admission calculation based on the provided formula cannot yield such a high total with the given numbers.

Conclusion

The expression 6a + 4c provides a straightforward method to calculate the total admission price for a specified number of adults and children. By substituting the correct values, we find that the total for 380 adults and 120 children is 2760 dollars. Other options do not accurately reflect the results of this calculation, highlighting the importance of careful substitution and arithmetic in solving such problems.