So here's the solution to the problem:
Calculate the average sell:
1,700 * $25 = $42,500 (revenue)
And if the Opera House wants to increase their revenue:
The price of a ticket will be:
$25 - x (where x is the number of 1-dollar decreases)
The number of tickets in total:
1,700 + 200x
Therefore the equation is:
(1,700 +200x) * ( 25 - x ) = 55,000
We can also solve this equation, but the solutions are not whole numbers.
x 1 = 5.89 and x 2 =10.6
For x = 6 (6 times 1 - dollar decreases):
( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18
=2,900 *19 = 55,100 (we will yield the revenue over $55,000)
He needed to divide instead of subtracting it on the last step.
Remark
A kite is constructed such that AB = BC and AD = DC. AB = sqrt( (1/2)AC + 18^2) see diagram. AD = sqrt(24^2 + 32^2)
Step One
Solve for AB
1/2 AC = 24 (AC is given as 48)
18 is a given length
AB = sqrt(24^2 + 18^2) = sqrt(576 + 324) = sqrt(900) = 30
Step Two
Find the length of AD
AD = sqrt(32^2 + 24^2) = sqrt(1024 + 576) = sqrt(1600) = 40
Step Three
Find the Perimeter.
P = 2 * 30 + 2*40 = 60 + 80 = 140
P = 140 <<<<< Answer
