At a zoo, the price of 4 adult tickets and 6 child tickets is $77.The price of 6 adult tickets and 4 child tickets is $83. What is the ticket price for one adult and for one child?

Answers

Answer 1

Answer:

the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5

Step-by-step explanation:

Given that:

the price of 4 adult tickets & 6 child tickets = $77

the price of  6 adult tickets & 4 child tickets = 83

then the price of 1 adult ticket and 1 child ticket will be:

Let assume that the cost of 1 adult ticket to be $p

Then;

the cost of 4 adult ticket = $4p

Similarly, the cost of 6 adult ticket = $6p

However, assuming that the cost of 1 child ticket is $q

Then;

the cost of 6 child ticket = $6q

the cost of 4 child ticket = $4q

We can express them with their given prices that:

4p + 6q = 77    --- (1)

6p + 4q  = 83   --- (2)

From equation (1), let 4p = 77 - 6q

Then; [tex]p = \dfrac{77 - 6q}{4}[/tex]

replace the value of p into equation (2)

[tex]6 \Big ( \dfrac{ 77 - 6q }{4}\Big) + 4q = 83[/tex]

[tex]\dfrac{462 - 36q}{4}+ 4q = 83[/tex]

[tex]115.5 - 9q + 4q = 83 \\ \\ 115.5 -5q= 83 \\ \\ 115.5 - 83 = 5q \\ \\ 32.5 = 5q[/tex]

[tex]q= \dfrac{32.5}{5}[/tex]

q = 6.5

Since q = 6.5, then using equation (1)

4p + 6(6.5) = 77

4p +39 = 77

4p = 77 -39

4p = 38

p = 38/4

p = 9.5

Thus, the cost of 1 child ticket is $6.5 and the cost of 1 adult ticket is $9.5


Related Questions

PSLS S S S S S S S s s s. Ss s s s s

Answers

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

Find x in triangle ABC using geometric means.​

Answers

Given:

The figure of a right angle triangle.

To find:

The value of x using geometric mean.

Solution:

According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then

[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]

Let attitude from A touches the hypotenuse at point D.

Using this in the given triangle, we get

[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]

[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]

[tex]12\times 3=x^2[/tex]

[tex]36=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{36}=x[/tex]

[tex]\pm 6=x[/tex]

Side cannot be negative. Therefore, the only value of x is 6.

4. You buy a video game and pay for it with a $50 bil. Write an expression that can be used to find out how much change you shoud receive. ​

Answers

Answer:

[tex]\boxed{\textsf {\textbf{The amount returned by the shopkeeper is \$ 50 - x .}}}[/tex]

Step-by-step explanation:

Given that I buy a video game and pay $ 50 to the shopkeeper . And we need to find the expression how much change should I receive .

So , let us take that the video game costs x . There can be two cases .

Case 1 :-

When the cost of the product is same as the amount given . When the cost of the video game is $50 then the shopkeeper will give us no change .

[tex]\boxed{\red{\sf Returned\ change = \$ 0 }}[/tex]

[tex]\rule{200}2[/tex]

Case 2 :-

When the cost of the video game is less than $50 then the shopkeeper will return us some change that is equal to the difference if the amount given to shopkeeper and the cost of the video game .

If the cost of the video game is x , then the amount given to us by the the shopkeeper will be ,

[tex]\boxed{\red{\sf Returned\ change = \$ 50 - x }}[/tex]

what is a axe on a graph?

Answers

Answer:

Plural of Axis. Pronounced "ak-seez". Axes often means the "x" and "y" lines that cross at right angles to make a graph. See: Axis (graph) Cartesian Coordinates.

Step-by-step explanation:

“X” “Y” they cross at right angles to make a graph.

"-5 increased by one-half of a number is a
maximum of 3."

Answers

This is True this statement so it’s true it would be -5 inclrease by 3

We can write the given statement as expression -

- 5 + (1/2)x = 3

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement -

"-5 increased by one-half of a number is a maximum of 3"

We can write it as an expression -

- 5 + (1/2)x = 3

Therefore, we can write the given statement as expression -

- 5 + (1/2)x = 3

To solve more questions on expression evaluation, visit the link below -

brainly.com/question/1041084

#SPJ5

Solve the inequality by stating the solution and graphing it.
3 – 5x < -4x + 9

Answers

Answer:

x>-6

graphing (-6,0)

Step-by-step explanation:

3-5x<-4x+9-- Add 5x to -4x

3<x+9--- subtract 9 from both sides

-6<x

What is 26% of $3,000

Answers

the answer is def not 5778
The answer is 0.26 x 3000 = $780

everything is above

Answers

Answer:

at week 5 the higth is 6.5

Step-by-step explanation:

Max completed 140 questions on DFM last week.
This week, Max completed 182 questions.
Find the percentage increase.

Answers

Answer:

30%

Step-by-step explanation:

182-140=42(increase)

increase ÷ original × 100 %

= 42÷140×100%

=30%

The percentage increase from the old number to new number is 30 percent.

Given that, Max completed 140 questions on DFM last week. This week, Max completed 182 questions.

We know that, percentage increase = (New Number - Original Number)/Original Number ×100

= (182-140)/140 ×100

= 42/140 ×100

= 4200/140

= 30%

Therefore, the percentage increase is 30 percent.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

What is the 11th term of the sequence: 7, 13, 19, 25, ....

Answers

pattern is adding 6

so the 11th would be 67

Adds 6 each time so the nth term rule is
6n+1
the +1 because you take away the amount you add by from the first term
The substitute 11 into this so
6x11=66
66+1=67
11th term is 67

Una cámara de refrigeración industrial tiene una temperatura de 2°C disminuye su temperatura a razón de 4°C por minuto ¿cuantos minutos le toma llegar a -18°C?​

Answers

Answer:

Tarda 5 minutos

Step-by-step explanation:

En un minuto baja a -2°C, en dos minutos baja a -6°C, en tres minutos baja a -10°C, en cuatro minutos baja a -14°C, en cinco minutos baja a -18°C

ESPERO TE AYUDE ;)

A $830 iphone has a 20%
discount. The tax rate is 7.5%.
What is the final price of the
phone including tax?

Answers

Answer:

$614.2

Step-by-step explanation:

Um I just calculated it. I'm in Algebra 2 so it's light work

How many different ways can you have 50¢ in change using only quarters, dimes and nickels?

A. 1
B. 4
C. 10
D. 15
PLZ help!

Answers

Answer:

Answer vary :

C. 10

Step-by-step explanation:

at least in my opinion I think so.

Answer:

C i think

you can you use 10 nickels

Write 3435.332 out using words
(Pic for friends)

Answers

three thousand four hundred thirty-four and three hundred thirty-two thousandths

Need help will give thanks and brainliest

Answers

Answer:

[tex]y=\frac{2}{3} x-1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)

1) Find the slope of the line (m)

The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (3,1) and (6,3)

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

[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]

Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:

[tex]y=\frac{2}{3} x+b[/tex]

2) Find the y-intercept of the line

To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):

[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]

Subtract both sides by 2 to isolate b

[tex]1-2=2+b-2\\-1=b[/tex]

3) Plug m and b into y=mx+b

[tex]y=\frac{2}{3} x-1[/tex]

I hope this helps!

Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

(2, -12)

Step-by-step explanation:

Answer:

(2, -12)

Step-by-step explanation:

(x, y ) = (0, -8)

2 units right = +2 units to the x-coordinate

4 units down = -4 from the y-coordinate

(0+2, -8-4)

= (2, -12)

Solve equation 3(x+5)=36

Answers

Answer:

x = 7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x+15=36

    -15  -15

      3x=21

        x=7

The sum of two numbers is 30 and their difference is 4. Find the numbers​

Answers

Answer:

17 and 13

Step-by-step explanation:

So you can set up an equation:

let x be the greater number

this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.

The sum is 30, so x + (x - 4) = 30

Then, solve:

x + (x - 4) = 30

x + x - 4 = 30

combine like terms

2x - 4 = 30

add 4 to both sides

2x = 34

divide both sides by 2

x= 17

Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.

The numbers are 17 and 13

PLEASE HELP! GIVING POINTS :)!

Answers

Answer:

56 square feet

Step-by-step explanation:

If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.

You end up with one rectangle that is

8x4

and a second thats

4x6.

The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)

Thus

32 + 24 = 56 square feet

Answer:

32 + 24 = 56 square feet


Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1

Answers

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

387.4 rounded to the nearest tenth

Answers

Answer:

387.4 is the answer

Step-by-step explanation:

hope this helps=)

Answer:

387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...

1) A craftsman makes 40 items in 8 hours. How many
hours will he take to make 75 items?

Answers

Answer:

15 hours

Step-by-step explanation:

40/8 = 75/x

40x = 600

x = 15

Answer:

About 15

Step-by-step explanation:

40 items/8 hours = 5 items per hour( his rate)

75 items/ 5 items per hour= 15 hours

At his rate it will take him about 15 hours to make 75 items

what is the missing variable

Answers

4x-7=7x-61
3x=54
54/3
Answer - 18

Answer: x= 18

Step-by-step explanation: these are corresponding angles which means they are equal.

(4x-7) = (7x-61)

-7 = 3x -61

54 = 3x

18 = x

A number is at maximum 20

Answers

Answer:

19

Step-by-step explanation:

PLS HELP ILL GIVE BRAINLIEST!!

Answers

Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

What is the measure of the indicated angle ?

Answers

Answer: this is easy put attention to your teacher

Step-by-step explanation:

1+4-6,2-7+6,4-8+2,6-3-7 highest to lowest

Answers

Answer:

-1 , 1 , -2 , - 4

in order its

1, -1 , -2 , -4

Step-by-step explanation:

The sales tax rate is 6.3%. Rosa buys a shirt priced as $108, what is her total cost including tax (nearest hundredth)​

Answers

Answer:

$114.80

Step-by-step explanation:

108 increase 6.3% =

108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804

TOPIC: You and two friends have $20 to spend on snacks after school.

Explain how you would divide the money between the three of you.

Explain where you would go and what you would buy with your money.​

Answers

Each friend gets $6.60 and I would go to an dollar tree or 7/11 and buy a drink and some chips

Help pls (pls dont write absolute nonsense on here pls i really need help)

Answers

A) -2fg b) not sure sorry c) f-x
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