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

please I need help... Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary. spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points the maximum number of points possible on the test is 100​

Answers

Answer:

5x+10y=100

Step-by-step explanation:

4. Solve the system of equations. (6 points)
2x-3y - 21
-6x+2y = 7
Part I: Explain the steps you would take to solve the system by eliminating the x-terms. (1 point)
Part II: Explain the steps you would take to solve the system by eliminating the y-terms. (2
points)
Part III: Choose either of the methods described in parts I or II to solve the system of equations.
Write your answer as an ordered pair. Show your work. (3 points)

Answers

1) If the first equation is 2x-3y=21, To eliminate the x-terms, I would multiply the first equation by -3. To make -6x+9y+63.

Then, I would subtract the second row from the first row to make 7y=-70

Next, divide both sides by 7 to solve for y. y = -10.

2) To eliminate the y-terms, I would multiply the first equation by 2 and the second equation by -3. It will make 4x-6y=42 and 18x-6y=-21.

Now, subtract the two equations to make -14x=63.

Lastly, divide both sides of the equation by -14 to find x. x = -9/2

3) The answer as an ordered pair is (-9/2, -10).

Have a wonderful day✨❤️

Look at this graph: 100 90 80 70 60 50 40 30 20 10 Х 0 10 20 30 40 50 60 70 80 90 100 What is the slope?​

Answers

700 million trillion billion KABILLION could trillion billion reciprocal burst

sixty-seven AND ninety-four THOUSANDTHS in standard form.

Answers

Answer:

Yes it's standard form lol

Step-by-step explanation:

NEED ASAPPPPPPPPPPPPPPPPP HURRY

Answers

Answer:

what

Step-by-step explanation:

PLEASE HELP ASAP WILL CHOOSE BRAINLIEST FOR CORRECT ANSWER GIVING 20 PTS

System A-
-x-2y=7
5x-6y=-3
Solution: (-3, -2)

Choose the correct option that explains what steps were followed to obtain the system of equations below.

System B:
-x-2y=7
-16y=32

A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 3. The solution to system B will be the same as the solution to system A.
B. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -6. The solution to system B will not be the same as the solution to system A.
C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -5. The solution to system B will not be the same as the solution to system A.
D. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

please helpp and take ur time

Answers

Answer: A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

System A :

-x - 2y = 7 ..........(1)

5x - 6y = -3 ..........(2)

If we multiply the first equation by 5, then we will get :

5(- x - 2y) = 5(7)

⇒ - 5x - 10y = 35 ........... (3)

Now the Sum of equation (2) and equation (3) is:

⇒ Sum :  

Now if we replace the second equation in system A with this  , then we will get the system B.

Solution of system B:

First we will take the second equation as there is only one variable 'y'. So, we will solve that equation for 'y'

Now for solving 'x', we will plug y= -2 into the first equation

So, the solution of system B is (-3, -2), that means the solution of both systems are same.

Step-by-step explanation:

Answer: D:

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.

Step-by-step explanation:

what is the value of sin 70

Answers

0.77389068155

EXPLANATION

sin 70 = 0.77389068155

0.77389068155
..


......

Please help I just relized that my dumb self waited 35 min for her science class to start but the class didnt start bc i missed math so i need to do thisss nowww my mother is so strictttt

Answers

it do be 1/4 tho not gonna lie

Which choices are solutions to the following equation?
Check all that apply.
x^2 - 3x = -5/4

Answers

Answer:

The answer to this question is C.

Two farmers sell peanuts. The table and the graph below represent the two farmers where f(x) is the cost in dollars for x pounds of peanuts. What is the difference in the rate of change for the two functions

Answers

Answer:

number 2

Step-by-step explanation:

(2, 6) & (2,7)
Find the slope

Answers

Answer:

1/0 or undefined (use undefined)

Step-by-step explanation:

7-6= 1/0

2-2=

1/0 isn't a real slope so it's undefined...

using the substitution property of equality, if y= -5 and 7y + x = 11, then ___

Answers

then x will equal to 46

Consider the rectangle.
4
x+1
-
Which pair of expressions represents the area of the rectangle?
O 2(x + 1) + 2 (4) and 2x +9
O 2(x + 1) +2 (4) and 2x + 10
O 4(x + 1) and 4x + 1
O 4(x + 1) and 4x + 4

Answers

Answer:

[tex] \boxed{ \underline{ \underline { \bold{ \tt{4(x + 1) \: and \: 4x + 4}}}}}[/tex]

☯[tex] \underline{ \underline{ \text{Question}}} : [/tex]

☥ Which pair of expressions represents the area of the rectangle?

☐ 2(x + 1) + 2 (4) and 2x +9

☐ 2(x + 1) +2 (4) and 2x + 10

☐ 4(x + 1) and 4x + 1

☑ 4(x + 1) and 4x + 4

☪ [tex] \underline{ \text{Given :}}[/tex]

Length of a rectangle ( L ) = 4Breadth of a rectangle ( B ) = x + 1

☪ [tex] \underline{ \text{To \: Find} : }[/tex]

Pair of expressions which represents the area of the given rectangle

☪ [tex] \underline{ \text{Solution}} : [/tex]

❀ [tex] \underline{ \boxed{ \sf{Area \: of \: a \: rectangle = length \times breadth}}}[/tex]

↦ [tex] \sf{4 \times (x + 1)}[/tex]

↦ [tex] \boxed{ \sf{4(x + 1)}}[/tex]

Also , In 4 ( x + 1 ) , if we distribute 4 through the parentheses , it would be 4*x + 4*1 = [tex] \boxed{ \sf{4x + 4}}[/tex].

Hence , the right answer is of last option { i.e  4 ( x + 1 ) and 4x + 4 } .

And we're done !

Hope I helped!!

♡ Have a wonderful day / night ツ

~ [tex] \text{TheAnimeGirl}[/tex] ♪

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The sum of three consecutive numbers is 84. What is the largest of these numbers? (5 points) a 28 b 26 c 29 d 27

Answers

Answer:

The answer is c.29

Step-by-step explanation:

I used Google xD

Answer:

Largest number = 29

Step-by-step explanation:

Let the consecutive numbers by (x + 1) ; (x + 2) and (x +3)

x +1 + x + 2 + x + 3 = 84         {Combine like terms}

x + x +x + 1  + 2 + 3 = 84

               3x + 6 = 84

                    3x = 84 - 6

                     3x = 78

                        x = 78/3

x = 26

Largest number = x + 3 = 26 + 3

                           =29

Will mark brainliest for whoever answers

Answers

Answer:

the third one

Step-by-step explanation:

Answer: A

Step-by-step explanation:

how many times does 80 go into 4320

Answers

54. You can just divide

Answer:

 54

Step-by-step explanation:

There are 54 time 80 in 4320.

( 4320 : 80 = 54 )

A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children's tickets cost £5, and a total of £6680 was collected
If there are a Adult tickets and cChildren tickets, write down two simultaneous
equations connecting a and c.
Solve your equations to find how many tickets of each kind were sold.
A=
C=

Answers

Everybody says holy but nobody asks how is the holy cow
..... (¯`v´¯)♥
.......•.¸.•´
....¸.•´
... (
☻/
/▌♥♥
/ \ ♥♥ PEANUT WINGS Just in time for holiday cookie season, we’ve discovered that the vanilla flavoring in your baked goods and candy could come from the butt hole excretions of beavers.

Plz plz plz help
I’ll give brainliest to first correct answer!

Graph y=2/3x

Answers

Answer:

Graph for 0.666667*​x

Step-by-step explanation:

that what i found

Write the equation of the line with the given point and slope: (−5, −3) slope=−35

Answers

Answer:

Slope-intercept form: y = -35x - 178

Point slope form: y + 3 = -35 x (x + 5)

Step-by-step explanation:

My dog, Lilly, weighs 3.8 pounds.
Round this to the nearest whole
number (ones place).
Lilly weighs about [?] pounds.

Answers

Answer:

4 pounds

Step-by-step explanation:

Since 8 is above 5 you would round the 3 up to a 4

(click the brain on the top right of my answer)

Answer:

4 pounds

Step-by-step explanation:

The revenue from selling x tickets is r(x) = 10x. The cost for buying x tickets is c(x) = 8x + 40. The profit from selling x tickets is p(x) = r(x) – c(x).9. What is p(x)? *

Answers

Answer:

p(x)=2x-40

Step-by-step explanation:

Substitute the variables

p(x)=10x-(8x+40)

p(x)= 10x-8x-40

p(x)=2x-40

Answer:

p(X) = r(X) - c(X).9

⇔ p(X) = 10x - (8x+ 40).9

⇔ p(X) = 10x - 72x - 360

⇔ p(X) = -62x - 360

Step-by-step explanation:

Find the slope of the line passing through the points (-7, -3) and (6,-3

Answers

Answer:

-9/-1 is the slope

Step-by-step explanation:

-3-3/-7+6

h(n) = n + 2 g(n) = 2n + 1 Find h(n) − g(n)​

Answers

to do your math use your fingers

8y+11= 6y + 11
solve for y
please help

Answers

Answer:

y = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

8y + 11 = 6y + 11

Step 2: Solve for y

Subtract 6y on both sides:                    2y + 11 = 11Subtract 11 on both sides:                      2y = 0Divide 2 on both sides:                          y = 0

Answer:

Step-by-step explanation:

8y+11=6y+11

we have the same number in both sides, they will cancel out

8y-6y=0

2y=0

y=0 is the only solution  

8 is 16 times what number

Answers

Answer:

1/2

Step-by-step explanation:

If you need an explanation just comment

Answer:

2 and you are in high school learning that?

Step-by-step explanation:

Write an integer that is located on a number line between the given integers.
13. -3,8
14. -24,22
15. -5,9
16. 0,4
17. -2,2
18. -17,-15

Answers

Creo que es la 15 porque si fuera otra pues no lo sé sería 12/56 y ya luego 4/5
The answer is 15 I hope this helped :)

Can you help with 3,5,6 please Also can you explain how you did 5 please I dont understand well

Answers

Answer:

3) 46 5) 19.5 6) 31.2

Step-by-step explanation:

all the "y" numbers are the product of the "x" numbers being added or subtracted by something. In 5, y=x-1.5

How many solutions does a system of equations have when solving results in the statement 3=5​

Answers

Answer:

No solutions

Step-by-step explanation:

Answer:

they usually have the sum of an answer that they divided

Step-by-step explanation:

Help me on letter b please

Answers

Use the commutative property to reorder the terms.
Then, simplify the product.
Finally, subtract the numbers.
Your final answer is 3.

Answer:

Answer: 2

Step-by-step explanation:

[tex](a-b)(a+b)=a^{2}- b^{2}[/tex]

[tex](\sqrt{5}-\sqrt{2} )(\sqrt{2}+\sqrt{5} )\\(\sqrt{5})^{2} -(\sqrt{2} )^{2}\\5-2=3[/tex]

given f(x)=-x-2, find f (-6)

Answers

The answer is -8.
You plug -6 into the equation and you get
-6-2= -8
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