Question

The theater sells two types of tickets: adult tickets for $7 and child tickets for $4. Last night, the theater sold a total of 76 tickets for a total of $469. How many adult tickets did the theater sell last night?

Answer 1

55 tickets for adults

Explanation:

Start by setting up two equations. One equation will be the total amount of money spent and the other is the total amount of tickets sold. a is the # of adult tickets and c is the # of children tickets sold.

7a+4c=469

a+c=76

Now solve for c in the second equation. Then use that to substitute for c in the first equation.

c=76-a

7a+4(76-a)=469

7a+ 304-4a =469

7a+4a=165

3a=165

a=165/3

a=55