Your school band is performing a concert. Tickets cost $3 for students and $5 for adults. A total of 125 people attended the concert for a total ticket sales of $475. Write and solve a system of equations to find the number of students and adults that attended the concert. Make sure to write your answer in a complete sentence.

Answers

Answer 1

Given :

Tickets cost $3 for students and $5 for adults.

A total of 125 people attended the concert for a total ticket sales of $475.

To Find :

The number of students and adults that attended the concert.

Solution :

Let, number of students and adults that attended the concert is x and y.

Mathematical equation of given conditions :

x + y = 125    ....1)

3x + 5y = 425   ....2)

Putting value of x from 1 to equation 2 is :

3( 125 - y ) + 5y = 425

375 - 3y + 5y = 425

2y = 50

y = 25

x = 125 - 25

x = 100

Therefore, number of students and adults that attended the concert is 100 ans 25 respectively.

Hence, this is the required solution.


Related Questions

What is the solution to the equation?
Pls help ASAP

Answers

Answer: 12 1/2

Step-by-step explanation:

its easy bruh what grade you in this is 6th grade stuff

help please this is also do very very soon thank you!!!

Answers

Answer:

700

Step-by-step explanation:

100:2

???:14

14*100

=1400

1400/2

=700

Answer:

The answer is 650

Step-by-step explanation:

You need to find the slope.

i took the points (2, 100) and (4, 200)

Then i put it into the slope formula which is y2 - y1/ x2- x1

I got that the slope is 50. So every two hours 5o millmeters for water drops. So now at 12 hours on the graph it says 600 millimeters of wate has already dropped. The graph is at intervals of two. Now at the next point it will be 14. So just add 50 to 600 and you get 650. So at 14 hours 650 water should have dripped

pls mark brainlest

whats 10 divided by 489

Answers

Answer:

0.02044989775

Step-by-step explanation:

Simplify.
[tex]\sqrt{44}[/tex]

Answers

The answer is 6.6
hope this helps :)

A carpenter has 183 doorknobs in his workshop. Of those doorknobs, 95 are round and the rest are square. If he wants to place 9 square doorknobs in each bin, about how many bins would he need? The carpenter will need about bins.

Answers

Answer:

10 bins needed approximately

Step-by-step explanation:

Total door knobs = 183

Round door knobs = 95

Square door knobs = x

Total door knobs = Round door knobs + Square door knobs

183 = 95 + x

183 - 95 = x

88 = x

Square door knobs = x = 88

If he wants to place 9 square doorknobs in each bin, about how many bins would he need?

Divide total square knobs by square knobs in each bin

Total bins needed = Total square knobs / knobs in each bin

= 88 / 9

= 9.78

Approximately 10 to the nearest number of bins

Bins needed is approximately 10

Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?

Answers

Answer:

34650 dollars by next year

Step-by-step explanation:

Answer:

Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50

8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years , to the nearest cent?

Answers

Answer:

bruh

Step-by-step explanation:

42

Pls help i reall need help with this
Simplify Each
1. 3 - {7 - [8 + (7 - 3)] }
2. 12 - ( 3 - 4) - [8 - 6] + 5
3. - {2 - [7 - 8] + 2 - (1 - 3)}
4. 6 + 3
2 + 3
5. 4+5
- [ 8 - (245)]
1 - 4

Answers

Answer:

1.8

2.16

3.-7

5.-702

I didn't understand the 4th one

Answer:

1) 8

2) 16

3) -7

4) 14

5) 243

Step-by-step explanation:

For number 4 i just assumed you meant 6 + 3 + 2 + 3


Find the new price after the discount given. Round to the nearest cent if necessary.
$34.589 discounted 8%

Answers

Answer:

$31.82

Step-by-step explanation:

Traveling along a path from A to B, what is the ratio of the change in y to the change in x?

A. 5/3
B. 4/7
C. 3/5
D. 2/3

Answers

Answer:

Option C. is correct

Step-by-step explanation:

Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Please note the slope measures the ratio of the change in y to the change in x.

The points of the graph are A=(-3,-2) B=(7,4). Calculating the slope:

[tex]\displaystyle m=\frac{4-(-2)}{7-(-3)}[/tex]

[tex]\displaystyle m=\frac{6}{10}[/tex]

Simplifying by 2:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Option C. is correct

A digital thermometer costs $599.99. The company offers a $200 rebate. What percent of the cost is
the rebate?

Answers

Answer:

33.33%

Step-by-step explanation:

600/3 is 200 which means 1/3 of it is rebated

Andre and Elena knew that after 28 days they would have 2²⁸ coins, but they wanted to find out how many coins that actually is. Andre wrote: 2 28 = 56. Elena said, "No, exponents mean repeated multiplication. It should be 28 28, which works out to be 784." Do you agree with either of them? Explain your reasoning.

Answers

Answer:

I agree with none of them

Step-by-step explanation:

Given

[tex]Expression= 2^{28}[/tex]

[tex]Andre: 2 * 28 = 56[/tex]

[tex]Elena: 28 * 28 = 756[/tex]

Required

Who is correct?

[tex]Expression= 2^{28}[/tex]

When we apply law of indices to the above, it gives 2 multiplies by itself in 28 places

i.e.

[tex]Expression= 2^{28}[/tex]

[tex]Expression= 2*2*2*..........*2[/tex] ---- in 28 places

Andre's interpretation of the expression is incorrect as:

[tex]2^{28} \neq 56[/tex]

Also, Elena's expression is incorrect.

This is so, because

[tex]2^28 \neq 28*28[/tex]

Hence, both of them are incorrect and I agree with none of them

True or False: A check is a document that directs the bank to deduct money from your account and make a payment

Answers

Answer:true

Step-by-step explanation: An order to a bank to pay a stated sum from the drawer's account, written on a specially printed form.

The answer is true.

can someone please help me

Answers

Answer

7 or 5 or both

Step-by-step explanation:

so first, you know it has to be 7 or 5 because all the other numbers are already on the chart and it M was that then you would get the same output value. now you figure out the equation. thats all I can help you with because I am dumb but hope you can figure out the equation.

Express this ratio in its simplest form.

240cm : 3.6m

Answers

240 cm : 3.6m
convert 3.6m into cm :
3.6 x 100 = 360cm

240cm : 360cm
2 : 3

A nutrition label on a can of tuna fish states that every 1/4 cup of tuna has 1/2 gram of fat. How many cups of tuna are there for every gram of fat?

Answers

Answer: 1/2 cups

Step-by-step explanation:

Given that:

Every 1/4 cup of tuna has 1/2 gram of fat

How many cups of tuna are there for every gram of fat:

Let cup of tuna for 1 gram of fat = t

Hence, If

1/4 cup of tuna = 1/2 cup of fat

t tuna = 1 cup of fat

Cross multiply :

1/2 t = (1/4 * 1)

1/2 t = 1/4

t = 1/4 ÷ 1/2

t = 1/4 * 2/1

t = 2/4

t = 1/2

Hence, 1/2 cups of tuna for every gram of fat

Convert 2x + 37y = 18 to point-slope form.

Answers

Answer:

x=−37/2 y+9

Step-by-step explanation:

2x+37y=18

2x+37y+−37y=18+−37y

2x=−37y+18

2x2=−37y+18/2

x=−37/2 y+9

Jade buys a singing tie for $20 with 6% tax. How much does she pay?
A: $14.00
B: $26.00
C: $21.00
D: $1.20

Answers

the correct answer is c.

Answer:

The answer is C:$21.00

Step-by-step explanation:

Solve the system of equations -2x – 4y = –26 and -3x – 3y = -12 by
combining the equations.
2x – 4y -26)
3x – 3y =-12)
- 2x
3x
- 4y
-Зу
= -26
12
try
0
+
0
y

Answers

Step-by-step explanation:

First u group them for example

-2x-3x-4y-3y

5+7=12

(Wap) Urgent I need help with this question

Answers

Answer:

12.1

Step-by-step explanation:

In this question, we can use the pythagoras theorem to solve it.

the equation is [tex]\sqrt{11^{2}+5^{2} }[/tex] =   slant height.

                                          = 12.1

(please i need help)
Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times.

Part A: Based on the results, what is the experimental probability of the coin landing heads up? Show your work. (5 points)

Part B: What is the theoretical probability of the coin landing heads up? Show your work

Answers

Answer:

A) 16/40

B) P(H)= 0.4

Step-by-step explanation:

A) 16+24=40 is your denominator.

16 times it landed heads up, so  16/40

B) 16/40 as decimal (16 divided by 40) = 0.4

P= probability

(h)= (Heads up)

. Marilyn bought a Christmas ornament for each of her grandchildren. She spent $5.35 for each ornament and paid $4.50 in sales tax. The total bill came to $68.70. How many ornaments did she buy? Let n represent the number of ornaments she purchased.

Answers

Answer:

she purchased 7 ornaments

Which equation is a point slope form equation for line AB?


y+1=−2(x−6)

y+2=−2(x−5)

y+6=−2(x−1)

y+5=−2(x−2)

Answers

Answer:

Option 2: y+2=−2(x−5) is the correct answer.

Step-by-step explanation:

We can see two points on the line A and B.

Their coordinates are:

A = (x1,y1) = (1,6)

B = (x2,y2) = (5,-2)

The point slope form is given as:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is the slope which is found using the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{-2-6}{5-1}\\m=\frac{-8}{4}\\m = -2[/tex]

Putting the value of slope

[tex]y-y1 = -2(x-x_1)[/tex]

Putting both points to get two forms of point slope form of equation

Putting (1,6):

[tex]y-6 = -2(x-1)[/tex]

Putting (5,-2):

[tex]y+2 = -2(x-5)[/tex]

Looking at the equations and options it can be concluded that

Option 2: y+2=−2(x−5) is the correct answer

A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slope-intercept form.

Answers

Answer:

Point-slope form: y + 5 = 13/-4 (x-1)

Slope-intercept form:

Step-by-step explanation:

Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).

Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.

Hope that helped.

EASY HIGH POINTS

In parallelogram WXYZ, the longer sides are three times the length of the shorter sides.

Parallelogram W X Y Z. The length of sides W Z and X Y are 12 inches.

If W Z = 12 inches, what is the length of ZY?
3
4
8
12

Answers

Answer:

D. 12

Step-by-step explanation:

12 by 3 is 36 and since its three times the length if you divide it by 3 it would be 12.

Answer:

4

Step-by-step explanation:

What are the answers

Answers

Answer:

81 for the first blank and 12 for the second.

Step-by-step explanation:

The rule is divie or multiply by 9. (depending on what side its asking)

Mrs. Smith wants to purchase new markers for
her class. She compares prices at four different
stores, Which store sells markers for the lowest
price per marker?

A.Large lots:10 for $2.50

B.Pay less:20 for $4.00

C.office mart:30 for $5.50

D.save more:40 got $9.50

Answers

Answer:

off course D

Step-by-step explanation:

follow me say a thanks mark me branliest

Which equation represents the rectangular form of 5pi/6​

Answers

Answer:

D, StartRoot 3 EndRoot x + 3 y = 0

Step-by-step explanation:

The equation which represents the rectangular form of 5pi/6​ is √3x-y=0.

We are given that;

The expression 5pi/6​

Now,

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

The rectangular form of a polar point (r, θ) is given by (x, y) where x = r cos(θ) and y = r sin(θ).

Therefore, the rectangular form of 5π/6 is given by (x, y) where x = 5 cos(5π/6) and y = 5 sin(5π/6).

Using the unit circle, we can find that cos(5π/6) = -√3/2 and sin(5π/6) = 1/2.

Hence, the rectangular form of 5π/6 is (-5√3/2, 5/2).

Therefore, by the equation answer will be √3x-y=0.

To learn more about equations :

brainly.com/question/16763389

#SPJ4

1) Mark's new car can drive 725 miles in 8
hours. How many miles can Mark's car drive in
an hour? How many miles can his car drive in
3 hours?

Answers

Answer: 271 miles

Step-by-step explanation:725÷8 to find the MPH which is 90.625. Then  

multiply 90.625 by 3 which is 271.

HELP ASAP! Relations and Functions!!! Giving brainliest!!! !

Answers

Answer: its a relation only :))

Step-by-step explanation:  bc of that rule saying that there is only one output for every input there for not a function ( not a one to one function)

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