Question

Tickets for a concert are $40 for main-floor seats and $25 for upper level seats. A total of 2000 concert tickets were sold. The total ticket sales were $62,000. How many main-floor tickets were sold and how many upper-level tickets were sold? You can solve this problem using two equations.

Answer 1

Step-by-step explanation:

to show how many tickets were sold:

x = upper floor tickets

y = main floor tickets

x + y = 2000

to show total amount of revenue:

25x + 40y = 62,000

Finding answer using both equations:

x + y = 2000

multiply each side by 25

25x + 25y = 2000 × 25

25x + 25y = 50,000

25x + 40y = 62,000

-

25x + 25y = 50,000

-----------------------------------

15y = 12,000

^ this is column subtraction

^ this column subtraction is done to isolate y so we can work with one value rather than 2

15y = 12,000

divide each side by 15

12,000 ÷ 15 = 800

y = 800

x + y = 2000

x + 800 = 2000

x = 1200

Therefore 1200 upper-level tickets were sold

800 main floor tickets were sold