Mathematics High School

An amateur drama group hire a theatre for their production. They expect to sell all 850 tickets, some at $12 and the rest at $8. The group require the ticket sales to cover their $3760 production costs and to make a profit of $4000. If they are to exactly achieve this target and their expectations regarding ticket sales are correct how many of the 850 tickets should they charge $12 for and how many should they charge $8 for?

Answers

Answer 1

Answer:

610 tickets for $8, and 240 tickets for $12.

Step-by-step explanation:

x + y = 850

8x + 12y = 7760

x = 850 - y

8(850-y) + 12y = 7760

6800 - 8y + 12y = 7760

4y = 960

y= 240

x + 240 = 850

x= 610

Answer 2

Answer:

240 = no. of $12 tickets

610 = no. of $8 tickets

Step-by-step explanation:

Let x = no. of $12 tickets

y = no. of $8 tickets

12x = income from selling x $12 tickets

8y = income from selling y $8 tickets

If they are to make a profit of 4000, then they need to have a total income from sales of $7760

So,  x + y = 850         and              12x + 8y = 7760

            y = 850 - x                         12x + 8(850 - x) = 7760

                                                       12x + 6800 - 8x = 7760

                                                          4x + 6800 = 7760

                                                                      4x = 960

                                                                        x = 240 = no. of $12 tickets

            y = 850 - 240

              = 610 = no. of $8 tickets

Related Questions

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What steps are used to solve the equation?

g – 8 = 14



Complete the statements.

First,
both sides of the equation.
The solution of the equation is
.
Check the solution by substituting
for g and simplifying.

Answers

Answer:

both sides of the equation.

The solution of the equation is

.

Check the solution by substituting

for g and simplifying.

Step-by-step explanation:

What steps are used to solve the equation?

g – 8 = 14

Complete the statements.

First,

both sides of the equation.

The solution of the equation is

.

Check the solution by substituting

for g and simplifying.

Answer:

Step-by-step explanation:

What steps are used to solve the equation?

g – 8 = 14

 

Complete the statements.

First,  

✔ add 8 to

both sides of the equation.

The solution of the equation is  

✔ g = 22

.

Check the solution by substituting  

✔ 22

for g and simplifying.

The height of a mountain is 26,400 feet. What is the height of the mountain in miles?

Answers

Step-by-step explanation:

Height of Mountain in feet = 26400 feet

Height of Mountain in Miles = 5 miles

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Answer:

5 miles

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Answer:

1. a+b 2.a-b. 3. ab 4. a/b

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Jasmine ran for 98.4 minutes. Throughout her run, she ran at a constant pace of 8.2 minutes per mile. How many miles did Jasmine run?\


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Answers

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Answers

Answer:lololololololololololololololololololololololololololololololololololololololololololol

Step-by-step explanation: 1+1=2

how do you solve this
−8 x - 2/3

Answers

Answer:

16/3 = 5.333333333

Step-by-step explanation:

-8 x -2/3

Express -8(-2/3) as a single fraction

-8(-2)/3

Multiply −8 and −2 to get 16.

16/3 = 5.333333333

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Answers

Answer:

x = 5 /2 , y = 9 / 8

Step-by-step explanation:

x = 4y - 2 ....... (i)

x + 4y =7 ....... (ii)

Substituting eqn  (i) into eqn (ii);

(4y - 2 ) + 4y = 7

4y - 2 + 4y = 7

8y = 7 + 2 = 9

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substitute y = 9 / 8 in eqn (i)

x = 4 (9 / 8) - 2

x = 9 / 2   -   2

x = (9 - 4 ) / 2

x = 5 / 2

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Answers

Answer:

y=-x+3 follows the same equation as y=mx+b

3 is b, and b is the y-intercept. The y intercept is where the line crosses on the y axis,  and -x is is m, which is the slope. However since its a variable, its point is on the same number as positive three on the y axis, so then its 3 on the x axis.

Step-by-step explanation:

Hope this helped

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Is this graph proportional or non
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Proportional
non-proportional

Answers

You have to provide a picture so we can answer your question

Answer:

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Step-by-step explanation:

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A garden hose fills a watering can at a rate of 2/3 gallon per minute. How long would it take to fill a 4 gallon watering can?

Answers

Answer:

6 minutes

Step-by-step explanation:

If you add 2/3 and 2/3 you get 4/3 ( 1 1/3) so you have one and a third of a gallon then you add 1 1/3 and 1 1/3 to get 2 and 2/3 then add 1 1/3 to 2 2/3 and you get 3 3/3 also known as 4

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Answers

Answer:

I think the answer is C - (x+2)^2+1

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Answers

Answer:

14a

Step-by-step explanation:

14a
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if answered correctly i will give brainliest

Answers

Answer:

Step-by-step explanation:

20/1.6=12.5

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9=b

Answer:
9

Explanation:

First you multiply 1.6 by b and 3.5.
1.6b+5.6=20

Then you move everything besides b over to one side and change the sign.
1.6b=20-5.6

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Donna bought a candy bar for $1.50.
She paid with nickels and dimes.
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nickels (n) and how many dimes (d)
did she use?

Answers

Answer:

12 Nickels & 9 Dimes

Step-by-step explanation:

Systems of Equations

0.05x + 0.10y = 1.50

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Answers

Answer:

b=ya over x

Step-by-step explanation:

Each box contains 6 pens as shown in the table. # of Boxes # of Pens 1 6 2 12 3 18 4 Which list includes only independent quantities? O 1, 2, 3, 4 O 2, 4, 6,8 O 1, 2, 6, 12 O 6, 12, 18, 24​

Answers

Answer:

pens

Step-by-step explanation:

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Answers

Answer:

-3a^5+b^3

Step-by-step explanation:

The only thing we can do here is flip the equation around-

-3a^5+b^3

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D. cos 45°

Answers

Answer:

Cos(735) = 0.965925826289

Step-by-step explanation:

This is the same answer you will get if you have a scientific calculator set to DEG mode and then enter 735 followed by the Cos button.

Find.
bcbshdbsvbdbdbxbdddd did

Answers

Answer

bcbshdbsvbdbdbxbdddd did u

Step-by-step explanation:

Answer:

baby im not even here.

Step-by-step explanation:

HELP PLEASE.. ............

I'm sooooooooooooo bour.....?......​

Answers

How about this one? Have a nice day.

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Answers

Answer:

x=8

Step-by-step explanation:

the larger triangle has a scale factor of 4/3, so 4/3 times 5x+2=7x

(20x+8)/3=7x

20x+8=21x

8=x

Answer:

I think x is 35

Step-by-step explanation:

Im guessing

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Answers

Answer:

14/14

Step-by-step explanation:

multiply 7/7 by 2/2

=14/14

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Answers

Answer:

Step-by-step explanation:

Distribute the 2

y + 7 = 2x + 10

Subtract 7 on both sides

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Answer: y = 2x +3

Step-by-step explanation: hope this helped

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Answers

the answer would be (4,2) i think

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Yo have 3 bottles of lotion. Each bottle yo have contains 3.78 mL, 4.51 mL, and 2.72 mL of lotion...
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Answers

Answer:

11.01

Step-by-step explanation:

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The function f(x)= 1/25(∣4x∣+2x) will determine how many calories Zachary will burn if he runs up x steps. Use a negative value for x if he runs down the stairs. What does the domain represent in this function?

Answers

Answer:

R(All real numbers)

Step-by-step explanation:

We are given that the calories burn in x steps of running is given by

[tex]f(x)=\frac{1}{25}(|4x|+2x)[/tex]

We have to find the domain of this function.

We know that

|x|=[tex]x, x\geq 0[/tex]

    -x, x<0

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[tex]f(x)=\frac{1}{25}(4x+2x) ,x\geq 0[/tex]

             [tex]\frac{1}{25}(-4x+2x) ,x<0[/tex]

[tex]f(x)=\frac{1}{25}(6x), x\geq 0[/tex]    

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

-7

Step-by-step explanation:

8+ (-15)

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Answers

Answer:

27

Step-by-step explanation:

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Answer:

24

Step-by-step explanation:

1. Cross multiply:

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2. Divide each side by 12:

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3. Reduce:

C = 24

Final proportion:

9 24

--- = ---

12 32

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