A concert promoter needs to make $43,600 from the sale of 1880 tickets. The promoter charges $20 for some tickets and $30 for the others. Let x represent the number of $20 tickets and y represent the number of $30 tickets.
(a) Write an equation that states that the sum of the tickets sold is 1880.

(b) Write a formula for how much money is received from the sale of $20 tickets?
$

(c) Write a formula for how much money is received from the sale of $30 tickets?
$

(d) Write an equation that states that the total amount received from the sale is $43,600.

(e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $43,600.
x =
y =

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step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus