Question

The Globe Theater sold 556 tickets for a play. Tickets cost $22 per adult and $10 per senior citizen. If total receipts were $7921, how many senior citizen tickets were sold?

a) 341
b) 295
c) 180
d) 261

Answer 1

To solve the problem, we can set up a system of equations and solve for the number of senior citizen tickets sold.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's say x represents the number of adult tickets sold and y represents the number of senior citizen tickets sold. We can write the following equations:

x + y = 556

22x + 10y = 7921

We can use the first equation to solve for x in terms of y: x = 556 - y. Substituting this into the second equation, we get:

22(556 - y) + 10y = 7921

Expanding and simplifying, we get 12232 - 22y + 10y = 7921

Combining like terms, we get -12y = -4311

Dividing both sides by -12, we get y = 359. The number of senior citizen tickets sold is 359, so the correct answer is 359 senior citizen tickets were sold.