Question

At the city museum, child admission is $6.00 and adult admission is $9.60. On Sunday, twice as many adult tickets as child tickets were sold, for a total sales of $630.00. How many child tickets were sold that day?

Answer 1

25 child tickets and 50 adult tickets

Explanation:

Let c be the number of child tickets and a be the number of adult tickets. We have this system of equations:

6.00c + 9.60a = 630.00

a = 2c

Substitute 2c for a in the top equation:

6.00c + 9.60(2c) = 630.00

6.00c + 19.20c = 630.00

25.20c = 630.00

c = 25, a = 50