Determine the equations you would use to represent the situation.
You sold 27 tickets total. Some of the tickets were student tickets and the rest were adult tickers.
You collected $170 selling the tickets. If the student tickets cost $5 and the adult tickets cost $10.
how many student tickets did you sell?

Answers

Answer 1

Answer:

You sold 20 student tickets.

Step-by-step explanation:

Given that:

Total tickets sold = 27

Total amount collected = $170

Cost of student ticket = $5

Cost of adult ticket = $10

Let,

x be the number of students tickets sold

y be the number of adult tickets sold

x+y = 27          Eqn 1

5x+10y=170     Eqn 2

Multiplying Eqn 1 by 10

10(x+y=27)

10x+10y=270     Eqn 3

Subtracting Eqn 2 from Eqn 3

(10x+10y)-(5x+10y)=270-170

10x+10y-5x-10y=100

5x=100

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]

Hence,

You sold 20 student tickets.


Related Questions

Solve: x^2-x-6=0
Show your wrok

Answers

Answer:x=-2

or

x=3The factors of which -6 which sum to -1 are -3 and +2(x-3) (x+2)=2Equate each factor to zero and solve for xx +2=0x=-2x-3=0x=3.

Michael has finished 25% of an art project that has taken him a total of 4 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

It will take him 16 hours because 25 is 1/4 of 100% so 4 times 4 is 16. So 16 is your answer :)

Answer:

16 hours of total work time, 12 hours of work not including the original 4 hours

Step-by-step explanation:

25 percent is 1/4

To get to a whole, you need to do 4*4.

That is how many total hours of work time, -4 (the pre-existing 4) you get 12 of added time on top of the 4

There are 7 flavors of ice cream available at an ice cream shop. This shop also has 2 different kinds of cones (waffle and plain). How many different combinations of 1 cone and 1 flavor of ice cream can you have?

Answers

Answer:

14 combinations.

Step-by-step explanation:

If there are 7 different flavors and two types of cones, just mutiply each value. 7*2=14. Boom.

pleeaseeeeeeeeeee hellpppppp
solve 6x + 2 = 2(x + 4) - 2.

A. x= -1

B. there are infinitely many solutions

C. x= 1

D. x = -7/13

Answers

C

6x+2=2x+8-2
6x+2=2x+6
4x+2=6
4x=4
x=1

hope this helps! :)

A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.

Answers

Answer:

28 shirts

Step-by-step explanation:

Let's see what we are given.

there are x amount of shirts ($616 total)

there are 12 in a dozen

the regular shirts are $16

the last 12 shirts are $14

Lets make an equation.

616= 14(12) + 16x

616=168+16x

448=16x

x=28

(Sorry if this explanation is bad)

PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW

Answers

Answer:

a

Step-by-step explanation:

Answer:

I think its the number of months

Step-by-step explanation:

It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.

Hope this helps:)

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?


A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

The answer is 315 inches

Step-by-step explanation:

180+75%

Answer:315

Step-by-step explanation:

Pavel hiked 6 miles on a camping trip. He hiked 3 times as many miles on his next camping trip. How many miles did Pavel hike altogether on the two trips? Part 1: True or False: The equation below can be used to find the answer.

Answers

6x3=18+6=24
Where’s the equation below?

Answer:

24 miles

Step-by-step explanation:

Alright so 6 miles times 3 miles is 18, so 18 miles plus 6 miles is 24 miles so 24 miles all together.

How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?

A.
3y - X = -6
4y - x = 44

B.
3y + x = -6
4y + x = 44

C.
3y - 3x = -6
4y - 4x = 44

D.
3y + 3x = -6
4y + 4x = 44

Answers

Answer: c

Step-by-step explanation:

bc i said

Plsss help me with this question I’ll mark you

Answers

Answer:

ITS B the second one, 3/2 x 8=12

Step-by-step explanation:

Someone help plz right answer gets brainliest

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:

What do you need help with?

The price of a smartphone increased from $25 to $40. Find the percent
increase

Answers

Answer:60% increase

Source:trust me bro

Answer:

= 60% increase

Step-by-step explanation:

which is another way to write 42 + 63?

Answers

Answer:

B

Step-by-step explanation:

The sum of 42 + 63 is equal to 105.

B is the only answer that matches the sum of 42 and 63.

7 * 15 = 105

:3))

carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?

Answers

Answer:

24 pies

Step-by-step explanation:

Let x represent the number of pies and set up an equation:

6x = 3.75x + 54

Solve for x:

6x = 3.75x + 54

2.25x = 54

x = 24

So, Carrie and Joel have to sell 24 pies to break even

which describes the correlation shown in the scatter plot ?

A.there is a positive correlation in the data set
B.there is a negative correlation in the data set
C.there is no correlation in the data set
D.more points are needed to determine the correlation ​

Answers

I’m pretty the answer is b but I might be wrong

Answer:

It is B because it is negative correlation.

Step-by-step explanation:

Everyone keeps saying it's A, but how would it be A if the trend is going down? Make it make sense.

It is B.

Which of the following is true? (1 point) Group of answer choices |−6| < 5 |−6| < |5| |−5| < |−6| |−5| < −6

Answers

Answer:

|−5| < |−6|

Step-by-step explanation:

The symbols around the numbers signify that you must switch the negative to a positive or vice versa. So, in this case, this equation is actually 5 < 6.

One serving of tortilla soup is 1 2/3 cups. A restaurant cook makes 50 cups
of soup. Is there enough to serve 35 people? Explain

Answers

no there is not. 50 divided by 1 2/3 gives you 30 which means it can’t create 35 servings.

A washer and dryer cost $906 combined. The washer cost $56 more then the dryer. What is the cost of the dryer ?

Answers

906+56= 962. The dryer is $962

Answer:

It cost $397

Step-by-step explanation:

Because 906 divided by 2 equals 453 minus 56 equals 397

How much are these coins worth?

Answers

Answer:

$1.97

Step-by-step explanation:

What’s the answer to this problem?

Answers

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation:

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation: becuase i got the awnser right on the question

HELP PLS IDK WHAT TO DO

Answers

Answer: hmmm i think u should multiply

Step-by-step explanation:

Answer:

gfbngfjhbfgnbfhbnng

Step-by-step explanation:

How many 1 fourths are in 3 fourths?

Answers

Answer:

12

Step-by-step explanation:

This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.

Put these numbers smallest to largest 2.6,6.2,2.06,0.26.0.62

Answers

Answer:

0.26, 0.62, 2.06, 2.6, 6.2

0.26 , 0.62 , 2.06 , 2.6 , 6.2

Solve x for me please I need it!!!

Answers

The answer is 56 hope this helps

Answer:

The angle x° = 34°

Step-by-step explanation:

Given the right-angled triangle

right angle = 90° Given the angle = 56°

We know that the sum of angles of a triangle = 180°

so

90° + 56° + x° = 180°

x° = 180°- 90° - 56°

x° = 34°

Therefore, the angle x° = 34°

The senior class at James High School is planning a trip to Orlando, Florida. The total cost for each student is $192.47. A local agency made a donation of $948.00. The money will be divided equally between the 24 seniors who are going. The senior class president, Ashley, has already saved $62.00. How much more must she earn to cover her cost of the trip?

Answers

Answer:

yyyyyyyyyy i neeed help to

Step-by-step explanation:

Answer:

it is. 90.97 option A

What is the value of the function f(x) = 7x when x = 0.75? *​

Answers

Answer:it is -1

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

As per the question, we have

f(x)=7x

at x=0.75

f(0.75)=&(0.75)

f(0.75) = 7 x 75/100 (this is a fraction)

f(0.75)= 525/100 (this is a fraction)

f(0.75)=5.25

Hence, the value of f(x)=7x at x=0.75 is 5.25

For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)

Answers

Answer:

(fog)(x)  = 5x+45(gof)(x)   = 5x+9(fog)(3) = f(g(3)) = f(12) = 60    

Step-by-step explanation:

Given

f(x) = 5xg(x) = x + 9

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

Percent equations I need help plzzz here is the question blank % of 6,000 = 4,800

Answers

80 percent of 6,000 is 4,800

Answer:

20%

Step-by-step explanation:

20% of 6000 = 4800

If I helped you, can you mark me brainliest please?

Plz need help rn What is m

Answers

Answer:

measure of angle p=

94

Step-by-step explanation:

ok 5 sided polygon= 540

so put all of those equal to 540

need to find x first

540=132+(4x-10)+(5x-11)+128+(4x+2)

simplify and combine like terms

x=23

now plug in for angle p

(4(23)+2)

94

Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?

Answers

Answer:

[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Step-by-step explanation:

b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]

Area of one triangle

[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]

There are 4 colored triangles so total area of the triangles is

[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]

The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

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