For a play, the ticket prices were $5.00 per child and $8.50 per adult. the children bought 100 more tickets than the adults. the total box office income was $905.00. how many tickets of each type were sold?

Answers

Answer 1

Using the concept of linear equations, number of tickets bought by the children and adults are 130 and 30 respectively.

What is Linear Equation in one variable?

The linear equation in one variable is written as ax + b = 0, where a and b are two integers and x is a variable. This equation has only one solution.

Given that,

Ticket price per child = $5.00

Ticket price per adult = $8.50

Total box office income = $905.00

Let the tickets bought by the adults be x.

Then, tickets bought by the children will be x + 100.

Here, x is a variable.

Linear equation will be:

8.50x + 5(x + 100) = 905.00

8.50x + 5x + 500 = 905.00

13.50x + 500 = 905.00

13.50x = 905.00 - 500

13.50x = 405.00

x = 405.00/13.50

x = 30

So, the tickets bought by the adults = 30

And tickets bought by the children = x + 100

Tickets bought by the children = 30 + 100

Tickets bought by the children = 130

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Related Questions

What is the answer to this problem?

Answers

Answer:

The answer is that i got stick bugged lol

Approximating
1. Approximate to the nearest tenth: v45

Answers

Approximation to the nearest tenth means to find the tense place . e.g.

25632 - in this case the '32'

then you round it upwards or downwards according to rule that if digit at once place is

from 0 - 4 you round downwards,

from 5 - 9 you round upwards for example

25632 goes to 25630

248 goes to 250

Therefore approximate to nearest tenth means to make the number a nearest multiple of 10 with respect to the rule that if digit at once place is

from 0 - 4 you round downwards,

from 5 - 9 you round upwards

Look at the next place value to the right to round a number to the nearest tenth (the hundredths). Remove all the digits to the right if it's 4 or less. If it's 5 or higher, add 1 to the digit in the tenths place before removing all the digits to the right.

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In a math class, five chapter exams are given and a score of at least an 80 must be earned to get a B. Peter completed four exams with scores of 70, 85, 76, and 84. which number line shows the scores that Peter can get on the fifth exam and earn at least a B

Answers

Answer:

78

Step-by-step explanation:

A video store charges a monthly membership fee of $9, but the charge to rent each movie is only $2 per movie. Another store has no membership fee, but it costs $3.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?​

Answers

Answer:

6

Step-by-step explanation:

3.50×6=21

2×6=12+9=21

someone pls help me!​

Answers

Answer:

the answer is b or the second blank

Step-by-step explanation:

is it less, greater or equal pls help (will give brainleist)

Answers

Answer: less than
4*2/3 = 2.6666
So
4*2/3 is less than 4

PLease somebody help me

Answers

Answer:

Yes they ae all proportional

Equation: x*0.35=y

Step-by-step explanation:

Find the unit rate for all and compare

1.05/3=0.35

1.75/5=0.35

2.8/8=0.35

Since they are all equal, there proportional

Answer:

y = 0.35x

Step-by-step explanation:

Jane:

Cost of 3 postcards= $1.05

Cost of 1 post card = 1.05 ÷ 3

                              = $ 0.35

Rosi:

Cost of 5 postcards= $1.75

Cost of 1 post card = 1.75 ÷ 5

                              = $ 0.35

Tanya:

Cost of 8 postcards= $2.80

Cost of 1 post card = 2.80 ÷ 8

                              = $ 0.35

As unit rate is same, Cost and number of postcards are in proportion.

Cost of cards = 0.35 * number of cards

y = 0.35*x

y = 0.35x

You have to spend money to make money. You purchase three social media advertisements for every one newspaper ad you end up purchasing a total of 24 advertisements

Answers

Answer:

x = 3y

x + y = 24

The number of social media advertisement purchased is 18

And, the number of newspaper advertisements purchased is 6

Step-by-step explanation:

Let us assume the number of social media advertisement purchased be x

And, the number of newspaper advertisements purchased be y

As three social media advertisements for every one newspaper advertisement is purchased

So,

y = x ÷ 3

x = 3y

And it is ended by total of 24 advertisement

That means

x + y = 24 ............(1)

Now put the value of x in equation 1

3y + y = 24

4y = 24

y = 24 ÷ 4

= 6

x = 3y

= 6 × 3

= 18

Now  The equations are

x = 3y

x + y = 24

Find the measure of angle BCD

Answers

Answer: D

Step-by-step explanation:

I need help with this someone help me please!!

Answers

Answer:

Option 4

Step-by-step explanation:

Finding Area

The area of the semicircle is

[tex](\pi/2)(4^2) \approx (3.14/2)(16)=25.12[/tex]

The area of the trapezoid is

[tex]\frac{1}{2}(8+20)(8)=112[/tex]

Adding these, we get the area to be about 137.12 square inches.

Finding Perimeter

The arc length of the semicircle is

[tex]\pi(4) \approx 3.14(4)=12.56[/tex]

The sum of the lengths of the outer sides of the trapezoid is

[tex]10+10+20=40[/tex]

Adding these, we get the area to be about 52.56 inches.

3/5 divided by 2 1/2

Answers

Step-by-step explanation: To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators, we have 6/25.

The result of the division of 3/5 divided by 2 1/2 is: 6/25.

Here, we have,

given that,

3/5 divided by 2 1/2

To divide mixed numbers, first rewrite the mixed numbers as improper fractions.

So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.

Remember that dividing by a fractions means the same thing

as multiplying by the reciprocal of that fraction.

In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.

Finally, multiplying across the numerators and the

denominators,

we have 6/25.

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3(1−3x)=2(−4x+7)+5
what is x?

Answers

X=-16. Isolate the variable by dividing each side by the factors that don’t contain the variable

Find the value of x?

Answers

Answer:

15.09

Step-by-step explanation:

By angle bisector property of a triangle, we have:

[tex] \frac{x}{17.1} = \frac{6}{6.8} \\ \\ x = \frac{17.1 \times 6}{6.8} \\ \\ x = \frac{102.6}{6.8} \\ \\ x = 15.0882353 \\ \\ x \approx15.09[/tex]

SUGGEST how you could find the answers to the problems in Question #2 without multiplying.

Answers

Adding maybe
Step by steps answers

Raoul is trying to find a new way to keep track of coffee beans. He can fit 1,000 beans in a tub, 100 beans in a large bag, and 10 beans in a small bag. He leaves any group of 9 or less on his counter. If Raoul has 2 tubs, 3 large bags, 1 small bag, and 5 beans on the counter, how many coffee beans does Raoul have altogether?

Answers

Answer:

2,315 coffee beans.

Step-by-step explanation:

1 tub = 1,000

1 large bag= 100

1 small bag = 10

Raoul has:

- 2 tubs

- 3 large bags

- 1 small bag

- 5 beans on the counter

2 x 1,000 = 2,000

3 x 100 = 300

10 + 5 = 15

then, add all of the (bold) numbers together.

2,000 + 300= 2,300

2,300 + 15 = 2,315

Raoul has 2,315 beans altogether.

NOW AGAIN WITH PICTURE THIS TIME MATH PROBLEMS 2 PLS HELPPPP HOPE NOT TO SMALL BUT TRY THE ZOOM THAT MIGHT MAKE IT MORE VISIBLE IF TOO SMALL LET ME KNOW

Answers

Answer:

For the first pic it’s 2 miles

Second pic I think it’s the second check box thing

Step-by-step explanation:

Solve for Y

Y/5+7=9

Answers

Answer:

10

Step-by-step explanation:

—Math

y/5 + 7 = 9

y/5 = 9 – 7

y/5 = 2

y = 2 x 5

y = 10

Follow my account^^

DUE at 10:30 HELP PLEASE ?

Answers

Answer:

HFG - WUV By SAS similarity

Step-by-step explanation:

The sides are just a variation of each other because 9 is 1/2 of 18, and 21 is 1/2 of 42. Also the angle in-between is equal to each other.

Before last week's baseball game, Darnell did 50 knee lifts in 2 minutes.
Today, he will do knee lifts for 3 minutes. If he does them at the same rate,
how many knee lifts will Darnell do today? *

Answers

Answer:

^ratio/perbandingan (indonesia)^

2 minutes= 50 kbee lifts

3 minutes= ...... knee lifts

ok, enter:

50 × 3/2

=25 × 3

=75 knee lifts

FINALLY FOUND, M0DERATOR!!!

The range of f(x) = 3x + 1.1 is {16.1, 19.1, 25.1). What is the domain?
A. (5,6,8)
B. 49.458 4, 76.4)
C. All positive real numbers
D. All real numbers

Answers

Answer:

It’s A. (5,6,8)

Justin has $28 to buy a gift for his cousin, Julianne. He found something to buy that costs $24. He knows he has to also pay 8% in sales tax and he is trying to decide if he can afford it. Will he have enough money to buy the item and if so how much will he pay?

Answers

Justin will have enough money to buy the item. The amount Justin will pay is $25.92.

How much will Justin pay?

A sales tax is the amount of tax that is charged on the sales of goods and services. Tax is the compulsory sum levied by the government or an agent of the government on goods and services. Taxes increase the price of an item.

Percentage is the fraction of an amount expressed as a number out of hundred. The sign used to represent percentages is %.

Amount Justin would pay for the item = (1 + tax) x initial cost of the item

(1 + 0,08) x $24

= 1.08 x 24 = $25.92

$25.92 is less than the amount Justin has for the gift. This means that Justin has enough money to buy the gift.

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what are some ratios that are equivalent to 1:8?

Answers

2:16 3:24 4:32 5:40 6:48

Beula has a collection of video games. There are 12 games in the collection, and 2/4 of them are console games. Beula decides to double the amount of console games. 1. How many console games are in the collection now? 2. What fraction the games are console games now?

Answers

Answer:

12 console games

Step-by-step explanation:

if 2/4 are console games when you have 12, that means 6/12 are console games so to double the amount, add 6. 12+6=18.

12 out of the 18 are now console games making console games 6/9 (2/3 simplified) of the game collection.

On each of Maggie’s bird-watching trips, she has seen at least 36 birds. If she has taken 3 of these trips each year over the past 15 years, at least how many birds has Maggie seen?

Answers

Answer:

Maggie has seen at least 1620 birds.

Step-by-step explanation:

Ok since Maggie sees 36 birds each trip that means she sees 108 birds every year since she takes 3 trips each year. 36×3=108

If she has been doing this for 15 years she has seen at least 1620 birds because 108×15=1620

A. 1
B. .5
C. .55
D. .10
E. 1.10

Answers

Answer:

E

Step-by-step explanation:

The onlt one that makes sense

E is the correct answer . Hope u got it correct

3
4
Piper paid for 3 boxes of cookies to be
delivered to her house.
• Each box of cookies cost $24.95.
• Piper paid $12.99 for delivery.
What is the total amount Piper paid?

Answers

Answer:

Total Amount Paid by Piper = $84.87

Option C is correct.

Step-by-step explanation:

Total boxes of cookies = 3

Cost of 1 box of cookie = $24.95

Delivery charges paid = $12.99

We need to find total amount Piper paid.

First we will find cost of 3 boxes of cookies:

Cost of 1 box of cookie = $24.95

Cost of 3 box of cookie = $24.95 x 3

                                        = $74.85

Now, add cost of 3 boxes of cookies with delivery charges paid to get total amount paid.

Total Amount Paid = Cost of 3 box of cookie + Delivery charges paid

                               = 74.85 + 12.99

                               = 87.84

So, Total Amount Paid by Piper = $84.87

Option C is correct.

Which expression is equivalent to 4(x + 3) - 2(-x - 5)?

Answers

Answer:

the last one because when using the distributive property,  you get

4x + 12 - 2x - 10

Answer:

4x + 12 + 2x + 10

Step-by-step explanation:

4( x + 3 ) -2( -x -5 )

1. Multiply 4 and x = 4x

2. Multiply 4 and 3 = 12

3. Multiply -2 and -x = 2x

(turns positive as there are 2 negative signs)

4. Multiply -2 and -5 = 10

(turns positive as there are 2 negative signs)

Gabe buys a pack of 25 colored pencils for $25.50. What is the unit cost of one pencil

Answers

Answer:

1.02

Step-by-step explanation:

hopefully it helped

6x+5=35
Solve the equation

Answers

Its x=5 hope this helpsss!!

Answer:

x = 5

Step-by-step explanation:

6x + 5 = 35

     -5     -5

6x = 30

divide both sides by 6

x = 5

Hope this helps!!!!

1. Margo is selling boxes of nuts to raise money for her club. She finds that
3 out of every 7 boxes of nuts sold are cashews. Complete the table of
values. The one that is highlighted. *

Answers

Answer:

E none of the above

Step-by-step explanation:

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