A box office sells balcony seats, ground-level seats, and VIP passes for shows on tour. The table shows the numbers of each type of ticket sold and the revenues for the first three shows of a tour. What is the price of each type of ticket?

A Box Office Sells Balcony Seats, Ground-level Seats, And VIP Passes For Shows On Tour. The Table Shows

Answers

Answer 1

Answer:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180

Step-by-step explanation:

Let the price of one Balcony seat = $[tex]x[/tex]

Let the price of one Ground level seat = $[tex]y[/tex]

Let the price of one VIP seat = $[tex]z[/tex]

As per the given table:

[tex]135x+280y+29z=37170 ....... (1)\\150x+270y+58z=42240 ....... (2)\\130x+265y+29z=35570 ....... (3)[/tex]

Multiplying (1) with 2 and subtracting (2) from it:

[tex]120x+290y=32100 \\12x+29y=3210..... (4)[/tex]

Subtracting (3) from (1):

[tex]5x+15y=1600\\x+3y=320 ....... (5)[/tex]

Multiply equation (5) with 12 and subtracting (4) from it:

[tex]7y=630\\\Rightarrow y =\bold{90}[/tex]

By equation (5), putting value of [tex]y[/tex]:

[tex]x=\bold{50}[/tex]

By equation (1), putting the values of [tex]x, y:[/tex]

[tex]135\times 50+280\times 90+29z=37170\\\Rightarrow 29z=37170-31950\\\Rightarrow 29z=5220\\\Rightarrow z =\bold{180}[/tex]

Therefore, the answers are:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180


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Answer:

B. 61

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Maria bought a blouse on sale for 30% off. The sale price was $28.76. What was the original price? Write an equation to model the situation and solve it. Use variable p for the original price. Round to the nearest hundredth.

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Step-by-step explanation:

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Please Comment the input information ! Then I’ll help you :)


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Answers

Answer:

200.88

Step-by-step explanation:

324 · 0.62 = 200.88

(0.62 is equal to 62%)

Hope I helped :)

Please consider Brainliest :)

62% of 324 is 200 Round to the nearest hundredth.

What is percent?

In mathematics,a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now the given number is 324.

Given percentage is 62% or 0.62.

So for 62% of 324 we have,

62% of 324 = 0.62 x 324

or, 62% of 324 = 200.88

Now to round to the nearest hundredth we have

200.88 ≈ 200 round to the nearest hundredth.

Hence,  62% of 324 is 200 Round to the nearest hundredth

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I have 3 times as many nickels as quarters. How many quarters do I have if I have
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Answers

Answer:

18 Nickels, 6 Quarters

Step-by-step explanation:

For this problem, let's build a system of equations to find the number of nickels and dimes you have.  Let N represent the number of nickels and Q represent the number of quarters you have.

The first equation, you have 3 times as many nickels as quarters:

N = 3Q

The second equation, you have a total of $2.40.  Given we know nickels are $0.05 and quarters are $0.25:

0.05N + 0.25Q = 2.40

Now, let's use the two equations to find the number nickels and quarters you have.

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Now, let's plug the value back into the equation:

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N = 3(6)

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Therefore, we have found and verified the amount of Nickels and Quarters you have.

Cheers.

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Answer:

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6) [tex]ED=EB[/tex]                                           Subtraction Property (of Equality)

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Answer:

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Step-by-step explanation:

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Answers

Answer:

A

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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