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Salsk061 [2.6K]
3 years ago
5

use elimination to solve. For a production of sweeney Todd in Las Vegas, orchestra seats cost $42 and mezzanine seats cost $25.

If a group of 14 people show up and spend a total of $486, how many of each kind of seat did they buy? please help!​
Mathematics
1 answer:
lidiya [134]3 years ago
5 0

They bought 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Cost of one orchestra seat = $42

Cost of one mezzanine seat = $25

No. of people = 14

Amount spent = $486

Let,

x be the number of orchestra seats

y be the number of mezzanine seats

According to given statement;

x+y=14     Eqn 1

42x+25y=486    Eqn 2

Multiplying Eqn 1 by 25;

25(x+y=14)\\25x+25y=350\ \ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2 to eliminate y;

(42x+25y)-(25x+25y)=486-350\\42x+25y-25x-25y=136\\17x=136

Dividing both sides by 17

\frac{17x}{17}=\frac{136}{17}\\x=8

Putting x=8 in Eqn 1

8+y=14\\y=14-8\\y=6

They bought 8 orchestra seats and 6 mezzanine seats.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11258952
  • brainly.com/question/11343416

#LearnwithBrainly

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Answer:

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36(x + 4) = 36

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2 years ago
Give the slope of y- 4 = 5(x - 2) and a point on the line.
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Answer:

<h2>B. The slope is 5 and (2, 4) is on the line.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

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<em>(x₁, y₁)</em><em> - point</em>

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y-4=5(x-2)

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5 0
3 years ago
practice factoring a difference of squares. which expressions represent a perfect square monomial and its square root? check all
ohaa [14]

The perfect square monomial and its square root are shown in options 1, 2, and 5.

  • A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
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8 0
1 year ago
Andre builds a form for a new cement step in the shape of a rectangular prism. The form he builds is 40 and 1/2 inches long, 10
posledela

Answer:

3240 in^3

Step-by-step explanation:

Step one:

given data

The dimension of the form

Length 40 and 1/2 inches long,

Depth 10 inches deep,

The width and 8 inches high

Step two:

The amount of cement is equivalent to the volume of the form

V=L*W*H\\\\V=40.5*10*8\\\\V=3240 in^3

Hence the volume of cement is 3240 in^3

8 0
3 years ago
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