Answer:
The number of reserved seat is 120 and number of general seat is 640.
Step-by-step explanation:
Given,
Total number of seats = 760
Total collected Money = $3280
Solution,
Let the total number of reserved seat be x.
And the total number of general seat be y
Hence total number of seats is the sum of total number of reserved seat and the total number of general seats.
So the equation can be written as;
[tex]x+y=760\ \ \ \ equation\ 1[/tex]
Again, total money collected is the sum of fees of one reserved seat times total number of reserved seat and fees of one general seat times the total number of general seats.
So the equation can be written as;
[tex]6x+4y=3280\ \ \ \ \ equation\ 2[/tex]
Now, multiplying equation 1 by 4 and then subtract it from equation 2.
[tex]4x+4y=3040[/tex]
[tex](6x+4y)-(4x+4y)=3280-3040\\\\2x=240\\\\x=\frac{240}{2}=120[/tex]
On substituting the value of x in equation 1, we get;
[tex]x+y=760\\120+y=760\\y=760-120=640[/tex]
Thus the number of reserved seat is 120 and number of general seat is 640.
