A promoter needs to make $89,900 from the sale of 3200 tickets. She charges $25 for some tickets and $58 for the others. (a) If there are x of the $25 tickets sold and y of the $58 tickets sold, write an equation that states that the sum of the tickets sold is 3200. (b) How much money is received for the sale of x tickets for $25 each? (c) How much money is received for the sale of y tickets for $58 each? (d) Write an equation that states that the total amount received from the sale is $89,900. (e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $89,900.

a) x + y = 3200... Equation 1

b) $72,500

c) $17,400

d) 25x + 58y = 89,900 Equation 2

Step-by-step explanation:

A promoter needs to make $89,900 from the sale of 3200 tickets. She charges $25 for some tickets and $58 for the others.

Hence, the system of Equations is given as:

Let the

Number of the $25 tickets sold = x

Number of the $58 tickets sold = y

Hence:

x + y = 3200... Equation 1

x = 3200 - y

$25 × x + $58 × y= $89,900

25x + 58y = 89,900 Equation 2

Substitute 3200 - y for x

25(3200 - y ) + 58y = 89,900

80,000 - 25y + 58y = 89,900

- 25y + 58y = 89,900 - 80,000

33y = 9,900

y = 9,900/33

y = 300 tickets

Solving for x

x = 3200 - y

x = 3200 - 300

x = 2900 tickets

(a) If there are x of the $25 tickets sold and y of the $58 tickets sold, write an equation that states that the sum of the tickets sold is 3200.

x + y = 3200... Equation 1

(b) How much money is received for the sale of x tickets for $25 each?

x = 2900 tickets

Hence:

$25 × 2900 tickets

= $72,500

(c) How much money is received for the sale of y tickets for $58 each?

y = 300 tickets

Hence:

$58 × 300

= $17,400

(d) Write an equation that states that the total amount received from the sale is $89,900.

25x + 58y = 89,900 Equation 2

(e) Solve the equations simultaneously to find how many tickets of each type must be sold to yield the $89,900.

i would you but i don't under stand the qustion

step-by-step explanation:

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