On opening night of the play "The Music Man" at the Lewiston Civic Theater, 946 tickets were sold. The total receipts for the performance was $10,588. Children tickets cost $10 apiece, adult tickets cost $14 aplece, and senior citizen tickets

cost $6 apiece. If the combined number of children and adult tickets exceeded twice the number of senior citizen tickets by 334, determine how many tickets of each typo were sold.

There were children tickets, adult tickets, and senior citizen tickets sold.

Answers

Answer 1

Answer:

The number of tickets sold are

Children = 256

Adults = 486

senior citizen = 204

Step-by-step explanation:

let

x = children ticket  = $10 per piece

y = adult ticket = $14 per piece

z = senior citizen = $6 per piece

x + y + z = 946 ( total tickets sold ) ---------- ( 1 )

Total receipt for performance

10x + 14y + 6z = $10588   --------------- ( 2 )

since the combined number of children and Adult tickets exceeded twice the number of senior citizen tickets by 334

x + y - 2z = 334 --------- ( 3 )

substract equation 3 from equation 1

3z = ( 946 - 334 ) = 612 therefore Z = 204

next we multiply equation (1) by 14

14x + 14y + 14z = 13244 ---------- ( 4 )

substract equation (2) from ( 4 )

4x + 8z = 2656

= 4x + 8(204) = 2656

= 4x = 2656 - 1632

therefore : x = 256

back to equation 1

256 + y + 204 = 946

y = 946 - ( 256 + 204 ) = 486

Hence the number of tickets sold are

Children = 256

Adults = 486

senior citizen = 204


Related Questions

1 1/2 divided 3/5 i am stuck on this question

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Answer:

2.5

Step-by-step explanation:

Answer:

2.5 as decimal 5/2 as a fraction

Step-by-step explanation:

Two natural numbers differ by 1 and add to give 35. Find the smaller number. google it and answer will come,I just need answer pls.. It is blocked on my school chromebook soo...

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Answer:

17

Step-by-step explanation:

Since the numbers differ by 1, you can write the smaller number as x and the bigger one as x+1.

When you add them together you get 35: x+x+1=35

This simplifies to 2x+1=35.

When you solve you get 2x=34 so x=17.

10. If f(x) = { 2x-5 if x < 4
and f(x) {-2/3 x + 2 when x > 4 What is f(3)?
A.) 1
B.) 3
C.) -1
D.) 3
E.) None of these

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B is the answer to this question

The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17. The passing score was 111 or higher.

Use the z-table to answer the question.

What percent of students passed the midterm?


70% IS THE ANSWER

Answers

Answer:

70% is the correct answer

Step-by-step explanation:

Answer:

70% is correct


You buy 6 items for $25,60. About how much did you spend?

Answers

Answer:

153.6

Step-by-step explanation:

Answer:

153.60

Step-by-step explanation:

6×25.60=153.60

which ONE DOES NOT BELONG? 5231+4331=9462 or 3696+6936=10 635 or 1842+1614=3456 or 2184+4182=6996

Answers

Answer:

5231+4331=946 doesn't belong

Step-by-step explanation:

5231+4331=9562

Tnak you guys for giving me brainliest i really appreciate it. THANK U ALL!!!!!!! :D

Answers

Answer:

no problem

Step-by-step explanation:

The temperature dropped 12 degrees in 3 hours.How many degrees dropped per hour?

Answers

Answer:

4 degrees

Step-by-step explanation: First find the unit rate by dividing 12/3=4  so the temperature drop 4 degrees every hour

Ricky walked a total of 4 3/4

miles on the school track. He stopped every 1/4

mile to rest.

Rick stopped ​
times to rest. Round your answer to the nearest whole number, if necessary.

Answers

Answer:

19

Step-by-step explanation:

Is he stop every 1/4 mile you get 19

There are 4 1/4 miles in every mile. 4x4(Equation of total 1/4th's in 4 miles) is 16. Add 3 more 1/4th's to get 19

Hope this helps!

Total number of rest is 19 times

Fraction based problem:

Given that;

Distance walked by Ricky = 4³/₄ miles = 19 / 4 miles

rest on every mile = 1/4 miles

Find:

Total number of rest

Computation:

Total number of rest = Distance walked by Ricky ÷ Rest on every mile

Total number of rest = [19 / 4] ÷ [1 / 4]

Total number of rest = 19 times

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Membership for the Alpine rock-climbing gym costs $12 per month plus a $120 sign-up fee. Membership for Rocco’s rock-climbing gym costs $20 per month plus a $60 sign-up fee.

After how many months will the memberships cost the same?

Answers

Answer:

Around month 7-8

Step-by-step explanation:

Alpiine=

1 month=$132

2=144

3=156

4=168

5=180

6=192

7=204

8=216

9=228

10=240

Rocco=

1 month=80

2=100

3=120

4=140

5=160

6=180

7=200

8=220

9=240

10=260

Deonna is arranging pictures of her trip to Jamaica into a photo album. Twenty percent of her photos are just of her. If Deonna took 200 photos, then how many photos are there of just her in the picture?​

Answers

Answer:

I think it is 10% but I may be wrong hope this kinda helped

Step-by-step explanation:

What are the intercepts of the equation? 5x + y = 30​

Answers

Answer:

Slope=−2.00010.000​=−5.000

x−intercept=530​=6

y−intercept=130​=30.00000

Step-by-step explanation:

3 3/4x1/5 in fraction

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Answer:

3/4

Step-by-step explanation:

A regular garden hose can pump 1,200 gallons of water in 2 hours. What is the unit rate of
the water flow measured in gallons per minute?

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Answer: 10 gallons per minute

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Let be a continuous random variable that follows a normal distribution with a mean of and a standard deviation of . Find the value of so that the area under the normal curve to the right of is . Round your answer to two decimal places.

Answers

Complete Question

Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.

a

Find the value of x so that the area under the normal curve to the left of x is .0250.

b

Find the value of x so that the area under the normal curve to the right ot x is .9345.

Answer:

a

  [tex]x = 403[/tex]

b

 [tex]x = 436.75[/tex]

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 550[/tex]

   The standard deviation is  [tex]\sigma = 75[/tex]

Generally the value of x so that the area under the normal curve to the left of x is 0.0250 is mathematically represented as

     [tex]P( X < x) = P( \frac{x - \mu }{ \sigma} < \frac{x - 550 }{75 } ) = 0.0250[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P( X < x) = P( Z < z ) = 0.0250[/tex]

Generally the critical value of  0.0250 to the left  is  

       [tex]z = -1.96[/tex]

=>    [tex]\frac{x- 550 }{75} = -1.96[/tex]

=>    [tex]x = [-1.96 * 75 ]+ 550[/tex]      

=>    [tex]x = 403[/tex]

Generally  the value of x so that the area under the normal curve to the right of x is 0.9345 is mathematically represented as

        [tex]P( X < x) = P( \frac{x - \mu }{ \sigma} < \frac{x - 550 }{75 } ) = 0.9345[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P( X < x) = P( Z < z ) = 0.9345[/tex]

Generally the critical value of  0.9345 to the right  is  

       [tex]z = -1.51[/tex]

=>    [tex]\frac{x- 550 }{75} = -1.51[/tex]

=>    [tex]x = [-1.51 * 75 ]+ 550[/tex]      

=>    [tex]x = 436.75[/tex]

   

     

Milo pays $3 per pound for dog food at Pat’s Pet Palace. The graph below represents the cost per pound of food at Mark’s Mutt Market. At which store will Milo pay a lower price per pound for dog food?

Answers

where’s the graph ? I think you’ll need to show the graph in order for us to help you

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Answers

Answer:

Both triangles are congruent so it's 55 mi

Step-by-step explanation:

{17}{15}={10}{2x-2} x =

Answers

Answer: 12.85

Step-by-step explanation: If you start off by multiplying them then. You'd get 225=20x-2. So from there you subtract the 2, to isolate the 20x. Then divide bother sides by 20 to get 12.85.

Answer:

The answer is 5.4

Step-by-step explanation:

{17}{15}={10}{2x-2} x =92/17

92/17 rounded to the nearest tenth is 5.4117...

5.4

im late to answer this question but to help people in the future with this same question... here you go x)

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.6 years with a standard deviation of 0.9 years. If a sampling distribution is created using samples of the ages at which 49 children begin reading. What would be the mean of the sampling distribution?

Answers

Answer:

The value is [tex]\mu_{x} = 5.6 \ years[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 5.6 \ years[/tex]

    The standard deviation is  [tex]\sigma = 0.9 \ years[/tex]

    The sample size is  n  =  49  

Generally given that the sample size is large enough, the  sampling distribution created using the samples of the ages at which 49 children begin reading is equal to the population mean

i.e

     [tex]\mu_{x} = \mu[/tex]

=>  [tex]\mu_{x} = 5.6 \ years[/tex]

Helpppppppppppppppppppppppppp

Answers

The answer is y=-4x+21

Well, you can do this by first putting the numbers into point-slope form. That will be y-21=-4(x-0)

Then, you can simplify by doing the distributive property.

Lastly, add 21 on both sides to get the slope-intercept form.
y-21=-4x+0
+21 +21

y=-4x+21

Hope this helps!✨❤️

PLEASE!!!! I NEED HELP!!! 50 POINTS!!!
1.Mrs. Thomas is designing a rectangular pool for her backyard. The width of the pool is 71/2 feet shorter than twice its length. The perimeter of the pool is 75 feet. What is the length of the pool?

2.Callie’s dad is installing a fence in the rectangular backyard. He purchased 110 feet of fencing and plans to use all the fencing. The width of the fenced area will be 5 feet less than twice the length of the fenced area. What is the length of the fenced area?

3.A rectangular television’s length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?

Answers

Answer: For the first one , the answer is 15 , the equation is 75=2f+2(2f-7.5)

For the Callie question , the answer is 20 , the equation is 110=2f+2(2f-5)

The third answer is 23 and the equation is 144=2(2w+3)+2w

Step-by-step explanation:

Which equation represents a line that passes through the two points in the
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Answers

Answer:

C

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use the points to find the slope (y-y1/x-x1) 3-5/3-6 = 2/3

the answers are all in point slope form so the slope is 2/3 and the point represented is 3,3

Answer: It’s A. Just did it

Step-by-step explanation:

Natalie drove 12.25 hour for a total of 686 miles. How fast did she drive in miles per hour?​

Answers

Answer:

step 1= 12.25*60=735minutes

step 2=686/735=0.933333kilometer.

step 3=0.9333333*60=56kilometers.

HELP ASAP 30 POINTS

Im getting a bit desperate now so i raised the price. please answer this:
Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 54.7°F​, what will be the temperature when the plane reaches an altitude of 4,000 ft​?

Answers

4000/1000 = 4

There are 4 drops in temperature.

1.9 x 4 = 7.6 total temperature drop.

54.7 - 7.6 = 47.1 F temperature

1.9 x 4 = 7.6 total temperature drop.

54.7 - 7.6 = 47.1 F temperature

1.43 x 10 to the 9 power

Answers

Answer:

25004854810.8

Step-by-step explanation:

You multiply 1.43 by 10 to get 14.3. Then you multiply 14.3 by itself 9 times. Hope this helps!

125 i googled it so if you need to show your work then uh

-w/20=-2.5 help please its due today

Answers

Answer:

w = 50

Step-by-step explanation:

−w /20  = −2.5

Step 1: Simplify both sides of the equation.

−1 /20 w = −2.5

Step 2: Multiply both sides by 20/(-1).

( 20/ −1 ) * ( −1/ 20 w) = ( 20 /-1 ) * (−2.5)

w = 50

Help a brotha out........

Answers

Answer:

it's flipped I guess ‍♀️

Answer:

6/12 = 1/2

12/6 = 2

you get different answers when the numerator & denominator are flipped

A recipe has a ratio of 2 cups of dark soy sauce to 3 cups of light soy sauce. How many cups
of dark soy sauce are there for each cup of light soy sauce?

Answers

Answer:

2/3 cup

Step-by-step explanation:

2:3

2/3:1

2/3=0/66 repeating

simplified to a fraction its 2/3

Rachel ate 1/8 of the pepperoni pizza and 1/4 of the cheese pizza. How much of a pizza did she eat?

Answers

Answer:

3/8

Step-by-step explanation:

1/4 = 2/8

1/8 + 2/8 = 3/8

Rachel ate 3/8 of the pizza in total from pepperoni pizza and cheese pizza.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rachel ate 1/8 of the pepperoni pizza and 1/4 of the cheese pizza.

The total pizza eaten will be calculated as,

1/4 = 2/8

1/8 + 2/8 = 3/8

Hence, Rachel ate 3/8 of the pizza in total from pepperoni pizza and cheese pizza.

To know more about an expression follow

https://brainly.com/question/14075635

#SPJ2

is 4kg greater than 4000g

Answers

Answer:

Nope they are the exact same

They are identical masses
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