Verified answer

You have two equations in two unknowns.

Let X be the number of Lower Level seats and Y the number of Upper Level seats. Now -- what do you know about these? You know that:

X+Y = 14,600

15.80*X + 4.25*Y = 163,690

If you know linear algebra, you can solve this using that. If not, then use the fact that Y = 14600-X in the second equation:

You get:

15.80*X + 4.25*(14600-X) = 163,690

Now you have an equation in one variable. Solve for X. Then plug that number into the first equation to get Y.

You have 2 unknowns, so you need 2 equations to solve your problem.

The total number of tickets sold equal $163,690. So

$15.80x + $4.25 y = $163,690

Now you also know that 14,600 tickets were sold and that the total number of tickets were x + y

so x + y = 14,600

Now substitute:

x = 14,600 - y => $15.80(14,600 - y) + $4.25y = $163,690

Solve for y

$230,680 - $15.80y + $4.25y = $163,690

$230,680 - $11.55y = $163,690

-$11.55y = $163,690 - $230,680

-$11.55y = -$66,990

y = 5800

Now plug y into the second equation

x + 5800= 14,600

x = 8800

Assuming all tickets were sold for $15.80

$15.80 x 14600 = $230680

The extra money from the actual total cost

$230680 - $163690 = $66990

Number of tickets for upper level

$66990 - ($15.80 - $4.25) = 5800

THEREFORE the number of tickets for lower level is

14600 - 5800 = 8800

First, let x = number of lower level tickets and y = number of upper level tickets.

So, x+y = 14,600 therefore, y = 14600-x

The equation for the total amount is:

15.80X+4.25y = 163,690

Substitute the equation for y and you get:

15.80x+4.25(14600-x)=163690

Multiplied out you get:

15.80x+62050-4325x=163690

add like terms:

11.55x+62050=163690

Subtract 62050 from both sides:

11.55x=101640

Now divide each side by 11.55 to get your answer:

x = 8800

So 8800 lower level ticket were sold and 5800 upper level tickets were sold.

Let x be the number of lower level tickets and y be the number of upper level tickets.

According to question,

x+y = 14,600

=> y = 14600-x ---------- equation (i)

Also

15.80x + 4.25y = 163690

=> 15.80x+4.25(14600-x)=163690 [from equation (i)]

=> 15.80x+62050-4325x=163690

=> 11.55x+62050=163690

=> 11.55x = 163690 - 62050

=> 11.55x=101640

=> x = 101640/11.55

=> x = 8800

So, 8800 lower level ticket were sold.

9

Lets say L stands for the number of lower level tickets and H stands for the number of higher level tickets.

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

so, $15.8L + $4.25H = $163690 and L + H =1460.

Now you can use guess and test to figure out the values of L and H, like this:

guess # |value of L | value of H | answer

1 | 7300 | 7300 | $146365

2 | 8000 | 6600 | $154450

3 | 8300 | 6300 | $157915

and so on, making sure that L + H = 14600, until you get the correct values, which are

guess # | value of L | value of H | answer

watever | 8800 | 5800 | $163690

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

As the value of L is 8800, the number of lower level tickets sold was 8800.

4.25(x) + 15.80(14600-x) = 163690

that should be the equation. i'm a bit crusty with my math since its summer...and the fact that i never really understood this strand of math as much as the other strands...

457

divide 15.80 by 163.690 use a calculater on ure phone or somthing