Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.

a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.

b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold.

c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?

Answers

Answer 1

Answer:

a. (A + S = 200), (8S + 10A = 1760)

b. The school play sold 80 adult tickets, and 120 student tickets.

c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$

Step-by-step explanation:

a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).

b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be

(8S + 10(200 - S) = 1760)

Then you solve for S

(8S + 2000 - 10S = 1760)

-2S = -240

S = 120

Substitute for S in the first system of equations

A = 200 - 120

A = 80

or the second

8(120) + 10A = 1760

960 + 10A = 1760

10A = 800

A = 80

This means that the school play sold 80 adult tickets, and 120 student tickets.

c. (8S + 15A = X)

8(120) + 15(80) = X

X = 2160

2160 - 1760 = 400

400$ more would have been collected if the school charged 15$ per ticket instead of 10$


Related Questions

what is 3 forths - 3 eigths

Answers

Answer:

3/8

Step-by-step explanation:

3/4 is equivalent to 6/8 to we can change the problem to

6/8 - 3/8 which equals 3/8

This is volume of spheres.
Can anyone give me this step by step?
Due tonight..

Answers

Answer:

Step-by-step explanation:

4/3(pi)(r)^3

4/3(pi)(0.8m)^3   (converted the cm to m)

then you can simplify it based on wither the answer is in Number*pi or just a number.

Hope this helps!

Henry rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that he will roll a multiple of 2?
A certain bile
B unlikely
C an equal chance or 50-50 impossible
D impossible​

Answers

The answer I would assume is C

Answer:

certain

Step-by-step explanation:

Jai rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase describes the probability that he will roll a number between 1 and 6 (including 1 and 6)?

There are 6 possible outcomes for rolling a die numbered from 1 to 6: {1, 2, 3, 4, 5, 6}.

Within that set of outcomes, there are 6 possible ways of rolling a number between 1 and 6 (including 1 and 6): {1, 2, 3, 4, 5, 6}.

6 out of 6 is 1. When something will occur all the time, we say it is certain.


Mika bought 4 cases of pop for $26. How many cases can she buy for $91?

Answers

Answer:

14

Step-by-step explanation:

find out how much for 1 case

1 case = 26/4

1 case = 6.5

91/6.5 = 14

14 cases

Answer:

14

Step-by-step explanation:

With $26 she can buy 4 cases

With $1 she can buy 4÷26 cases

With $91 she can buy (4÷26)×91

                                    =2/13×91

                                    =14

Probability mathematic

Answers

Answer:

1/9

Step-by-step explanation:

Probability  =  Expected outcome/Total outcome

From the given pi chart,

Total outcome = 360degrees (since the total angle in a circle is 360 degrees)

Since we to find the probability of scoring a 5, we can see that the angle when he scores a 5 is 40degrees, hence;

Expected outcome = 40degrees

Pr(scoring a 5) = 40/360

Pr(scoring a 5) = 1/9

Hence the probability of scoring a 5 is 1/9

Answer:

1/9

Step-by-step explanation:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Divide the number of events by the number of possible outcomes.

Who is correct between the two of them?

Answers

Answer:

Neither.

Step-by-step explanation:

I am not completely sure, so make sure to also let other answer this before you trust me lol. I really hope this helps!!

What is the value of 0.2 to the third power

Answers

Answer:

I think it is 0.008

Step-by-step explanation:

Answer: 0.008

Explanation: multiply base (0.2) by itself 3 times

0.2 x 0.2 x 0.2 = 0.008

Goodluck

What is m∠X to the nearest degree
A. 44
B. 36
C. 46
D. 34

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

A. 44

Hope it helps!

Mark me brainliest pls.....

Follow me! :)

The diameter of a circle is 9 in. Find its circumference in terms of pie

Answers

Answer:

C = 9π

Step-by-step explanation:

Please, use "pi" or "π"

The circumference of a circle of diameter 9 in is C = 9π

Find the Interquartile Range (IQR) of the following set of
data. (Round to the nearest whole number.)
$75, $69, $82, $90, $75, $73, $108, $79, $80
HELP ASAP PLEASE

Answers

Answer:

39

Step-by-step explanation:

put them in order least to greatest, then subtract 108-69=39

one hundred people were asked about their favorite sport.

Part A
complete the two-way frequency table

Part B which of the following statements is true

Answers

Answer:categorical data listed on the left to complete the frequency table. Ways ... 100. B Jenna asked some randomly selected students whether they preferred dogs, cats, or other pets. ... part-time job. The results are shown in the two-way frequency table below. ... Two hundred students were asked about their favorite sport.

Step-by-step explanation:

A two-way table is a useful way to organize data that can be categorized by two variables. Suppose the school board asked 125 households if they would support a tax ... Make a table of the joint and marginal relative frequencies. ... The table shows the results of a survey of 100 randomly selected people entering an.

Soccer - Male; 19 Female; 31

Basketball - Male; 21 Female; 29

Total - Male; 40 Female; 60

What is a two-way frequency table?

A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.

Given, one hundred people were asked about their favorite sport.

Since the Total number of humans is 50

And female who likes  Soccer is 31

Thus, Male who likes Soccer = 50 - 31 = 19

Since the Total number of humans is 50

And female who likes  Basketball is 29

Thus, Male who likes Basketball = 50 - 29 = 21

So,

Total males = 21 + 19 = 40

Total number of female = 29 + 31 = 60

about the two-way frequency table.

False More males were surveyed than females. (since total male-to-female ratio is 2/3)

True More females like soccer.

True An equal number of people like soccer and basketball.

False Twice as many females as males like basketball.

Learn more about two-way frequency tables here:

https://brainly.com/question/29766382

#SPJ2

Complete question:

One hundred people were asked about their favorite sports.

A) Complete the two-way frequency table.

B) Indicate whether each of the following statements is "T"-True or "F"-False about the two-way frequency table.

__________________ More males were surveyed than females.

__________________ More females like soccer.

___________________ An equal number of people like soccer and basketball.

____________________ Twice as many females as males like basketball.

Tom made $273 for 13 hours of work.
At the same rate, how many hours would he have to work to make $105?

Answers

Answer:

5 hours

Step-by-step explanation:

$272 = 13h

/273      /273

$1=     0.4.......

*105    *105

105=  5

Answer:

5

Step-by-step explanation:

What is the value of r in the following diagram.
9
6

Answers

Answer:

r = 3.75

Step-by-step explanation:

Using Pythagoras' identity in the right triangle ABC

AC² = BC² + AB²

(r + 6)² = r² + 9²

r² + 12r + 36 = r² + 81 ( subtract r² from both sides )

12r + 36 = 81 ( subtract 36 from both sides )

12r = 45 ( divide both sides by 12 )

r = 3.75

Kayla rolls two fair number cubes each numbered 1 through 6. She needs to roll a sum of 9 or more to win a game. She rolls the number cubes one at a time. She rolls a 5 with the first number cube.



What is the probability that Kayla will win the game?

Answers

Answer:

1/6

Step-by-step explanation:

Starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12). After simplification, the final result is 1/6.

what is the formula for finding area in a triangle​

Answers

Answer:

Base times Height divided by 2 or 1/2b*h

Step-by-step explanation:

Answer:

multiply the base times the height and then divide your answer by two or A=1/2bh  were b=base and h=height

Step-by-step explanation:

6. Alain, Betina, Coley, and Dimitri are artists. One is a potter, u painter, one a pianist, and one a songwriter. Alain, and Coley saw the pianist perform. Betina and Coley have modeled for the puinter. The writer wrote a song about Alain and Dimitri. Bettinn is the potter. Who is the songwriter?​

Answers

Answer:

discriminatory laws influence the way we think about others in our

society

Step-by-step explanation:

OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-

Answers

Answer:

1.

7 x 30  is equal to 3 tens-

9 x 200 is equal to 2 hundreds-

2 x 5,000 is equal to 5 thousands-

6 x 7,000 is equal to 7 thousands-

Step-by-step explanation:

30/10 = 3

200/100 = 2

5,000/1,000 = 5

7,000/1,000 = 7

I love you it's gonna be okay :)

for which value of c will the equation 2x - 5 = 2x - c have an infinite number of solutions? select all that appy
A 3
b 4
C 5
D 6

Answers

Answer:

d po

Step-by-step explanation:

i hope its help

carry on learning

In a 15-sheet package of construction paper, there are 6 red sheets.
What is the probability that a randomly selected sheet will be red?
Write your answer as a fraction or whole number.
P(red)

Answers

Answer:

There is a 40% chance

Step-by-step explanation:

If 6 out of the 15 sheets were red, 6/15(100) gets the outcome of 40


The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the range?

Answers

I think $8. That’s the difference between the highest and lowest number.

can someone please help me out on this

Answers

I think the answer is A
Not sure but I think it’s a

PLSSS HELP EASYY MATH HELPPP

How many of each different 2-D shapes do you see?

Answers

Yea the answer is 6.

Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard deviation of 17. What is the probability that a certain rope will break before being subjected to 130 pounds?

Answers

Answer:

0.961

Step-by-step explanation:

To answer this, find the area under the standard normal curve to the left of 130 pounds:

Using the function normalcdf( on a TI calculator, we get:

normalcdf(-1000, 130, 100, 17) = 0.961

*WILL MARK BRAINLIEST*

given the inequality 4x-y<=k-6, there is a minimum value of k in order for the point (5,0) to be part of a solution. what is the minimum value?

Answers

Answer:

26

Step-by-step explanation:

since the question asks for a value of k where the point (5, 0) is part of a solution, plug 5 into the x value and 0 into the y value:

4x-y<=k-6

4(5)-0<=k-6

20-0<=k-6

20<=k-6

26<=k

In this case, k can be equal to any number that is greater than or equal to 26 for the point (5, 0) to be a solution, but the question asks for the minimum value of k, meaning the smallest value. since the question asks for the smallest value, the answer we're looking for is 26.

lmk if this is wrong, hope it helps!!

A recipe calls for 1 1/2 c chopped dates, 3/4 c water, 1 1/2 c sugar, 1/2 c chopped nuts, 2/3 c butter, and 3 c flour to be mixed together in a bowl. When these ingredients are combined, how many cups will there be altogether?

Answers

Answer:

7 9/12

Step-by-step explanation:

1 1/2 + 3/4 + 1 1/2 + 1/2 + 2/3 + 3 =

add together with pairs

3 + 3 1/2 + 1 5/12

add again

6 1/2 + 1 3/12

7 9/12

(I think it's right not 100% percent sure but 95%)

anyways hope this helped :))

What is the surface area?

9 cm
9 cm
9 cm

square centimeters

Answers

Answer:

surface area of cube=6×side²

surface area of cube =6×(9cm)²

surface area of cube= 486cm²

Find the mean cost of video games: $38, $67, $55, $ 49, $62

Answers

Answer:

$54.20

Step-by-step explanation:

Mean :54.2
Add all the numbers & divide by how many numbers are listed

How many $ pound hamburgers can be made from 2 1 pounds of ground beef?​

Answers

Answer:

5.25 dalors

Step-by-step explanation:

Callculate the problem

Through ten games of basketball this season, Elijah has made 2 out of 15 of his free- throws. Which word or phrase describes the probability that Elijah will hit his next free throw?

O likely

O certain

O unlikely

O an equal chance or 50-50​

Answers

Answer:

Unlikely

Step-by-step explanation:

I mean Sheeeeeeesh

his free throw rate is only 13%

Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 4 1/2 cups. The recipe says one and a half cups of peanut butter chips, an unknown number of cups of nuts, and three very ripe bananas. Write and solve an equation to find the original amount of nuts, x, in the recipe.



ONLY WANT EQUATION​

Answers

Answer: 0.75 or three-fourth of a cup of nuts

Step-by-step explanation:

Try to look this up this question
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