Step-by-step explanation:
<u>to show how many tickets were sold:</u>
x = upper floor tickets
y = main floor tickets
x + y = 2000
<u>to show total amount of revenue:</u>
25x + 40y = 62,000
<u>Finding answer using both equations:</u>
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
<em>^ this column subtraction is done to isolate y so we can work with one value rather than 2</em>
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
