Reserved seats for the football game cost $4.00 each and general admission tickets for $3.00 each. After the game was over, it was found that 1787 total tickets were sold and $5792 was made. Find the number each sold. SHow your work

Equation for tickets sold: Equation for money made:

x+y=1787 4x+3y=5792

Solve for x using substitution:

x=1787-y

Plug it into the other equation to find the value of y:

4 (1787-y) + 3y=5792

7148-4y+3y=5792

-y=-1356

y=1356

Now plug y back into any equation:

x+1356=1787

x=431

1356 general admission tickets were sold, and 431 reserved seats were sold.