Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047
was collected on the sale of 1,291 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.

Answers

Answer 1

Answer:

The basketball game sold 439  adult tickets and  858 student tickets.

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values ​​of the unknowns, with which when replacing, they must give the solution proposed in both equations.

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047  was collected on the sale of 1,291 tickets.

With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:

[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]

Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:

y=1291 -x

and you replace in the second equation:

5*x + 1291 - x= 3047

Solving, you get:

5*x-x= 3047 - 1291

4*x= 1756

x= 1756÷4

x=439

Replacing this value in the expresion y=1291 -x you get:

y=1291 -439

y= 858

The basketball game sold 439  adult tickets and  858 student tickets.


Related Questions

A box has dimensions 6in x 3in x 7in. What is the volume?

Answers

Answer:

126 in.³

Step-by-step explanation:

Volume of a rectangle/square is length x width x height so you just multiply all the dimensions together.

Hope this helped :)

An older person is 8 yes older than seven times the age of a younger person. The sum of their ages is 32. What are their ages?

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Step-by-step explanation:

What do you get when you plug 4 in the following function?​

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Answer:

567

Step-by-step explanation:

It will become:

y = 7(3)^4

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Y=7(3)(3)(3)(3)

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Answer:

True. It could. Sorry my answer just has to be 20 characters long

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Does 2,4,5 make a right triangle

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Answer:

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Step-by-step explanation:

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A bicycle store costs ​$2600 per month to operate. The store pays an average of ​$60 per bike. The average selling price of each bicycle is ​$100. How many bicycles must the store sell each month to break​ even?

Answers

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Answers

Answer:

x^2+2x-15 hope it helps

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I believe hope this helped !!

Write 7% as a fraction or mixed number in simplest from

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Step-by-step explanation:

I WILL GIVE BRIANLIEST!!!!!!!!

Please, I really need to get these right because I’m redoing it for full credit and I have an F in math, help me with as many as you can but don’t guess because I really need this. Even if you see other people’s answers, please give me your feedback still.

Answers

Answer: This might be a little too late but I believe the answer is 2; distance increases by 2 miles per hour. I hope you have a great day and good luck!

Help me asp please I need this answer within 5mins

Answers

B or d I’m not sure try for your self and hope this answer helps
B or D not sure what it is try it yourself

Which of these is a geometric sequence?
4,2,1, , ....
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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

6 more than three times a number

Answers

Answer:

3x+6 is your expression.

Step-by-step explanation:

the answer is either 3x+6 or 6+3x

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Answers

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Step-by-step explanation:

The slope of a line is -4, and the y-intercept is -3. What is the equation of the line written in slope-intercept form?

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Answers

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A ticket for a seat at a school play costs £2.95
There are 21 rows of seats.
There are 39 seats in each row.
The school will sell all the tickets.
Work out an estimate for the total money the school will get.

Answers

Answer:

Answer vary :

2.95(21 times 39) = $2,416.05

Step-by-step explanation:

honestly in my opinion that the answer. so we’re trying to find out how much money the school will earn.

if each seat cost 2.95 we need to find out how many seats are their?

-21 times 39 = 819

we multiplied the rows and seats find out how many seats their are and the answer is 819.

after you do that now we have to find out how much money they will earn from selling all 819 seats.

-819 times 2.95 = 2,416.05

we then multiplie all of the seats wich is 819 seats by 2.95 wich is the cost of one seat and got 2,416.05, and that’s the answer we’ve been looking for.

and that’s how I got my answer.

The total money school will get is £2416.05 on a play.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A ticket for a seat at a school play costs £2.95

There are 21 rows of seats.

There are 39 seats in each row.

That means,

there are total 21 x 39 =  819 seats.

So, the total money the school will get,

= 819 x £2.95

= £2416.05

Therefore, school makes £2416.05 on a play.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

3. Diego measured the length of a pen to be 20 cm. The actual length of the pen is 22 cm.
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Answers

D


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Answers

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Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  (5, -5)

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I like a graphing calculator for quickly finding a solution to a system of equations. It shows the solution to be (5, -5).

__

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  2(-7x -3y) +(3x +6y) = 2(-20) +(-15)

  -11x = -55 . . . . . collect terms

  x = 5 . . . . . . . . . divide by -11

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Answers

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Step-by-step explanation:

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The length from the center of a wind turbine to the tip of one of its blades measures 32 meters. What is the approximate distance the tip of the blade will travel in one revolution of the wind turbine?

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Answer:

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Plz help me I will give brainliest

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its D

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Answers

Answer:

[tex]a)5y + 15 \\ b)4a + 8 \\ c)8w + 80 \\ e)9s - 9 \\ \: f)16 - 2t \\ \: g)28 + 7h \\ \: i)12y + 8 \\ \: 6)10p - 5 \: \\ k)21a + 6[/tex]

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

What is 8.154 rounded to 2 decimal places?" is the same as asking, "What is 8.154 rounded to two decimal points?" or "How to round 8.154 to two decimal places."

The main point is that you want to round 8.154 to two digits or places after the decimal point. Thus, we want to eliminate the last digit in 8.154. To eliminate the last digit in 8.154, we use the following Two Decimal Places Rules to get the answer:

Two Decimal Places Rule #1: If the last digit in 8.154 is less than 5, then remove the last digit.

Two Decimal Places Rule #2: If the last digit in 8.154 is 5 or more and the second to the last digit in 8.154 is less than 9, then remove the last digit and add 1 to the second to the last digit.
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