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

Sagot :

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.


There were 431 reserve seat tickets and 1356 general admission tickets sold.

What is Cost Function?

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels. In other words, it estimates the total cost of production given a specific quantity produced.

Let 'x' represent the number of reserve seats that were sold,

then '1787-x' represents the number of general admission tickets sold

we then have the following cost equation:

5792 = 4x + 3(1787-x)

solving for 'x' we have:

x = 431

1787-431 = 1356

Thus, there were 431 reserve seat tickets and 1356 general admission tickets sold.

Learn more about Cost Function from:

https://brainly.com/question/13288616

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