A family bought a total of 32 adult and child tickets to eat at the dining hall.

Adult tickets are $21 each and children are $15 each.

The family paid a total of $282

Write an equation to model the total number of tickets sold.

Write an equation to model the cost of tickets sold.

How many of adult tickets, “x” and child tickets, “y” did they buy?

Answers

Answer 1

Answer:  

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

Solution:

Step 1: Set up a table with quantity and value.

quantity value total

$3 tickets  

$2 tickets  

together  

Step 2: Fill in the table with information from the question.

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantity value total

$3 tickets x 3 3x

$2 tickets y 2 2y

together 350  950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.


Related Questions

Find an
equation for the perpendicular bisector of the line segment
whose endpoints (7,9) and (-1,3).
are

Answers

Step-by-step explanation:

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

any more help just ask :)

Help me increase 91 by 3/7​

Answers

Answer:

130

Step-by-step explanation:

First calculate 3/7 of 91

- 91 / 7 * 3 = 39

Then add your answer on to 91

- 91 + 39 = 130

Answer:

The answer is 130

Step-by-step explanation:

Hope this helped have an amazing day!

(-11/6) + m= -2/9


SOLVE FOR M

Answers

Answer:

29/18

Step-by-step explanation:

Add -11/6 to both sides of the equation

m=-2/9+11/6 = -4/18+33/18=29/18

please can anyone help me solve those questions with explanation thank you!!!​

Answers

Step-by-step explanation:

A: X=4

Step 1: Distribute the 7 within the parenthesis which will give you:

7x - 21 = 7

Step 2: Add over the -21 to the other side of the = which will give you:

7x = 28

Step 3: Divide by 7 on both sides to get the final answer, X=4

B: M=9

Step 1: Multiply by 4 on both sides, to cancel it out on the right, which will give you:

32 = 3m + 5

Step 2: Subtract the 5 from each side, giving you:

27 = 3m

Step 3: Divide by 3 on both sides to get the final answer, M=9

C: X=28

Step 1: Subtract 9 from both sides, giving you:

x/2 = 14

Step 2: Multiply by 2 on both sides to give you:

x = 28  (This will be our final answer, there is nothing left to simplify.)

D: X=3

Step 1: Distribute the 2 on the left and the (-) on the right to give you:

5 + 2x + 10 = 10 - 4 + 5x

Step 2: Combine like terms and simplify to give you:

15 + 2x = 6 + 5x

Step 3: Subtract over the (2x) to give you:

15 = 6 + 3x

Step 4: Subtract over the 6 to give you:

9 = 3x

Step 5: Divide by 3 on both sides to get the final answer, X=3

2X²+6X=
need real answer pls​

Answers

You cannot add them
But you can factor out 2x
Solution: 2x(x + 3)

Answer:

Solution:

2x×(x+3)

Step-by-step explanation:

oper brackets

CAN SOMEBODY PLEASE HELP ME NOW I AM IN A RUSH!!!!!!!!!!!!!!!!!!!
Which system of linear equations appears to have a solution of (3, 0)?
On a coordinate plane, 2 lines intersect at (0, negative 2).
On a coordinate plane, 2 lines intersect at (0, 1).
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect at (0, 3).

Answers

Answer:

i’m pretty sure it is 3 but i could be wrong

Step-by-step explanation:

Solve each equation.
X – 10 = 4
Math

Answers

Answer:

x=14

Step-by-step explanation:

Solving the equation x - 10 = 4, the value of x, which is the solution is calculated as x = 14.

How to Solve an Equation?

Solving an equation simply involves determining the value of the variable in the equation, which is the unknown.

For example, we are asked to solve the equation, x - 10 = 4., what it simply means is that we need to determine what the value of x is in the equation that will make it true. Do the following:

x - 10 = 4

x - 10 + 10 = 4+ 10 [addition property of equality]

x = 14

Therefore, the solution of the equation is x = 14.

Learn more about equation on:

https://brainly.com/question/25678139

#SPJ6

Which of these methods of paying for college does NOT need to be repaid?



Stafford loans


Consolidation loans


Work-study


Private loans

Answers

Answer:

Work study

Step-by-step explanation:

I did that question.

Find the distance between the point A(-4,3) and B(1,6)​

Answers

Answer:

The distance would be (5,-3)

The answer would be (5,-3) your welcome

r/2=(r-4)/7 how do i solve this?

Answers

You put a value in for r, and keep trying until they equal out, let me know if this helps, or if you need more
R= -8/5
Thx hope it helps

Help is this correct !!!??

Answers

Answer:

Yes

Step-by-step explanation:

Can anybody help with this?

Answers

Answer:

12

Step-by-step explanation:

Because < this means less than. So therefore 5 is less than 12

PLEASE ANSWER ASAP WILL GIVE BRAINLIEST.
A function is represented by the graph.

Complete the statement by selecting from the drop-down menu.



The y-intercept of the function ​y=−2x+8​​ is
Choose... greater than less than or equal to
the y-intercept of the function represented in the graph.

Answers

Answer:

equal to

Step-by-step explanation:

The y intercept is when x = 0.

In the function y=-2x+8, when x=0, y=8.

In the graph, when x=0, y=8. You can see on the x axis 0 is in the middle, and if you move up the y axis, you see the line intersects y=8.

Thus both have the same y intercepts of 8.

please give thanks :)

hope this helps

Answer:

equal to

Step-by-step explanation:

i took the test on k-12 and i got it correct.

Help me i can’t do this

Answers

Answer:

[tex]\huge\boxed{\sf Star = 14}[/tex]

Step-by-step explanation:

Let snowman be x , star be y and shopping bag be z.

So, the given equations are:

1) x + y = 20                 (Eq. 1)

2) z = x + x      

 z = 2x                         (Eq. 2)

3) z + x = 18                   (Eq. 3)

Put Eq. (2) in Eq. (3)

2x + x = 18

3x = 18

Divide both sides by 3

x = 18 / 3

x = snowman = 6

Now, Put x in (Eq. 1)

6 + y = 20

Subtract 6 to both sides

y = 20 - 6

y = 14

So,

Star = 14

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Which represents the constant in the expression: 2x - 8

Answers

Answer:

-8

General Formulas and Concepts:

Algebra I

Constants have no variables

Step-by-step explanation:

Step 1: Define

2x - 8

Step 2: Identify

Term 2x

Constant -8

Solve this equation: x/ 4 = 2.25

Answers

Answer:

x = 9

Step-by-step explanation:

x/4 = 2.25

9/4 = 2.25

ANSWER: IS IN 9

STEP BY STEP IS IN PICTURE:

153-22.5=?????????????????????

Answers

Answer:

130.5

Step-by-step explanation:

Answer:

130.5

Step-by-step explanation:

if correct mark brainliest plz

What is the base area.

Answers

Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

Volume = 63 cm³

From the formula,

63 = Area of the triangular base × 6

Area of the base = [tex]\frac{63}{6}[/tex]

                            = 10.5 cm²

Therefore, area of the base is 10.5 cm².

please answer I will give 20 and brainiest

Answers

I think it’s the first option

Answer:

#1

Step-by-step explanation:

-7- Go back 7 numbers from 0

6- Go foward 6 numbers from -7

-4- Go down 4 numbers from -1

-7+6=-1

Go four down from -1

(-1,-4)

Hope this helped :)

Did I do something wrong? I multiplied by 1.02 six times and got a realllllly ugly decimal.


Rebecca runs a quarter-mile each week. In each of the last 6 weeks her time has improved (decreased) by 2%, and she can now run a quarter-mile in 66 seconds. What was her time six weeks ago?

Answers

Answer:

75 seconds

Step-by-step explanation:

Here, we want to get her time 6 weeks ago.

We shall have an exponential model to link this all up

The exponential model would look like;

y = I(1 - r)^n

where y is the present time

I is the initial time she started with which we are calculating

r is the rate of change which is 2% = 2/100 = 0.02

n is the week number which is 6 in this case

So we have;

66 = I(1 - 0.02)^6

66 = I(0.98)^6

I = 66/0.8858

I = 74.5 seconds

This is approximately 75 seconds

Her time 6 weeks ago is 75 seconds

Please help me I need this

Answers

Answer:

since it's increasing 15% each year, it'll be linear, having a slope of 15.

Step-by-step explanation:

Because the users are increasing a percentage over time the function would be exponential.

The answer is exponential.

Tim bought a video game console and games for $350. The video game console cost $200. Each game cost $25. How many games did Tim purchase?

Answers

Tim bought 6 games
Because 25x6=150 and he spent 200 on the console and he spent 350 total so your answer is $150

Answer:

Tim purchased 6 video games.

Step-by-step explanation:

Let's set the number of games Time purchased as x.

Due to each game costing $25, the total amount of money used on buying games would be ($25)x.

Hence, as the total amount of money used to buy both the console and the video games would be $350, the equation can be set as:

[tex]\$25x + \$200 = \$350[/tex]

[tex]\$25x = \$(350 - 200)[/tex]

[tex]x = \frac{\$150}{\$25}[/tex]

[tex]x = 6[/tex]

Therefore, Tim purchased 6 video games.

Hope this helped!

is the surface area of the octahedron?
10.4 cm
12 cm
12 cm
12 cm
X
+

Answers

the answer is 576 2 cm

Step-by-step explanation:

hope i helped

Leah has an account balance of –150 dollars. Which of the following represents a debt greater than –150 dollars?

Answers

Answer:

-175

Step-by-step explanation:

bc its farther than -150 from the 0

a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?

Answers

Answer:

er n4356463

Step-by-step explanation:

I think that she should use about 12 ounces

During what times is Ann driving the fastest? Give a reason to support your answer

Answers

Answer:

6 and 8 minutes

Step-by-step explanation:

The graph shows her speed as being the highest and the table backes it up. 40mph is her top speed

I have finals next week and I’m stressing out-

Any advice?

Answers

Answer:

Hmmm.... well for one thing I would at least review a few things, just so you can feel a bit more confident in your work, then if that doesn't work you can review more or get your mind off stuff by going somewhere fun. SLEEP It's kinda hard yes but still staying up all night studying and worrying isn't going to do anything but make you sloppy. Make sure you are well fed before said test. Mainly just don't strain  yourself too much because like I said before it'll make it harder in class.

I'm sure you've heard this before but yeah it works if you really take it to heart

I hope this helps! <3 even a little bit?

PLS HELP ASAP!!!!!!!!!!!!!!

Answers

Answer:

okay, but with what should i help?

Whats the question? Is there a picture orrrrr?

help please!!! asap!!

Answers

Answer:

answer is opposite sides parallel and congruent theorem

Martin is seating people in the cars of a roller coaster. Each car can seat 8 people. Six of the roller coaster cars are yellow and nine of the roller coaster cars are green. People will be randomly seated in the roller coaster cars. What is the probability that the first person will be seated in a yellow roller coaster car?

Answers

Answer:

The probability is 2/5

Step-by-step explanation:

Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car

The number of cars to select from is 6 + 9 = 15 cars

The number of yellow cars is 6

So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5

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