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3 years ago

40x divided by 10=28

Mathematics

2 answers:

docker41 [41]3 years ago

7 0

Answer:

x = 7

Step-by-step explanation:

40x ÷ 10 = 28

40x ÷ 10 × 10 = 28 × 10

40x = 280

40x ÷ 40 = 280 ÷ 40

x = 7

almond37 [142]3 years ago

6 0

Answer:

x=7

Step-by-step explanation:

40x/10 = 28

40x/10 * 10 = 28 *10

40x= 280

40x/40 = 280/40

x = 7

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A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main

KatRina [158]

Answer:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

$x +y+z=800 ..... (1)$

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

$\Rightarrow 40x + 30y+20z=23200 ...... (2)$

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.

$\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)$

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

$\Rightarrow 20x = 3200\\\Rightarrow x = 160$

Putting value of x in equations (1) and (2):

Equation (1)

$\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)$

Equation (2)

$\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)$

Equation (5) - 2 $\times$ Equation(4):

$\Rightarrow y =400$

Putting value of y in equation (4):

$400 +z = 640\\\Rightarrow z =240$

Hence, answer is:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

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A company reduced the prices of its goals by 13% during a promotional sale. A product was sold for 435.00 during the promotional

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Learn more about discounts in: brainly.com/question/3541148

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