A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collected
was $360. How many of each type of ticket were sold?
It’s using substitution or elimination to find the number of kids and adults. Really need help!!

Answers

Answer 1

9514 1404 393

Answer:

24 kids30 adults

Step-by-step explanation:

If find that "substitution" works well for "mixture" problems like this. Usually, you will want to substitute for the lower-priced item, so that you're solving for the number of higher-priced items.

Let "a" and "k" stand for the number of adult and kid tickets, respectively.

  a + k = 54 . . . . . . total number of tickets sold

  8a +5k = 360 . . . total revenue

__

To substitute for k, we solve the first equation for k:

  k = 54 -a

Now, we substitute that into the second equation:

  8a +5(54 -a) = 360

  3a = 90 . . . . . . . . . . . subtract 270 from both sides; collect terms

  a = 30 . . . . . . . . . . . . divide by 3

  k = 54 -30 = 24 . . . . . use the above formula for k

The number of kids was 24; the number of adults was 30.


Related Questions

Helpppppplpppo! Plz plz hurry

Answers

Answer: it’s no solution inconsistent

Step-by-step explanation:

Multiply the top by -2

The x’s and y’all cancel out

0=-6

=0 which means no solution I think

When solving an equation and the final line reads 2 equals 2 what is the solution

Answers

Answer:

1

Step-by-step explanation:

when solving a mathematical equation and you arrive at the final line which states,

[tex]2=2[/tex]

the next step should be dividing 2

[tex]= \frac{2}{2}\\= 1[/tex]

the answer or solution to that equation is 1.

help!!! 6th grade math i will give brainliest

Answers

Answer:

Value 16 and exponential is 2 over 4

Step-by-step explanation:

Answer:

2^4 so A

Value=16

Step-by-step explanation:

2x2x2x2=2^4

2x2x2x2=16

2x2=4

2x2=4

4x4=16

On Friday 40% of the customers who bought groceries at a H.E.B. Also bought a bag of ice. There were 160 customers who bought groceries. How many of these 160 customers bought a bag of ice?

Answers

Answer:

The answer is 64 customers

Step-by-step explanation:

We are told that 40% of the customers who bought groceries also bought a bag of ice.

The total customers is 160 customers

Required.

the number of customers that bought a bag of ice?

Step two:

Let us compute what 40% will amount to

40/100*160

=0.4*160

=64

Hence 64 customers bought rice

There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the ratio of the number of pears to the number of apples is 2:5. Find the number of pears in the box.

Answers

Answer:

  Pears:  30

Step-by-step explanation:

Constant:

  3x + 5x + 2x = 150

                 10x = 150

                    x = 15  

Multiply ratio with constant from above:

  oranges : apples

       3 * 15 : 5 * 15

            45 : 75       ==>               45 oranges: 75 apples

  pears : apples

   2 * 15 : 5 * 15

        30 : 75          ==>                    30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

Please help me out.​

Answers

Answer:

i think its the 3rd one or the second one........

Step-by-step explanation:

if im wrong pllzzzzz dont report me....

NEED HELP ASAP!!!!OFFERING BRAINIEST!!!

Answers

Answer: None of the above

Step-by-step explanation:

A square has an area of 48 square feet. What is the length of a side of the square, in feet?

Answers

Answer:

12 square feet is your answer.

Step-by-step explanation:

If you find this helpful please mark 5 stars and brainliest!

Answer:

Answer is below. Hope this helped, Have a Wonderful Day!!

Step-by-step explanation:

The sides can be found by taking the square root of the area.

(Area)1/2=s, where s = side.

(48)1/2= 24

So the length of a side is 24 ft.

Mike hiked to a lake in 4.5 hours at an average rate of 2
1
5
miles per hour. Pedro hiked the same distance at a rate of 2
3
5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.

It took Pedro
hours to reach the lake.

Answers

Answer:

It took Pedro  3.81 hours to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = [tex]2\frac{1}{5}\ miles/hr[/tex]

Formula for distance can be seen as:

[tex]Distance = Speed\times Time[/tex]

Distance traveled by Mike = [tex]4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles[/tex]

Rate of Pedro while hiking the same distance = [tex]2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr[/tex]

Given that, Pedro also travels the same distance.

And we have to find the Time.

[tex]Time = \dfrac{Distance}{Speed}[/tex]

[tex]Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}[/tex]

It took Pedro  3.81 hours to reach the lake.

Find the value of a3 + 3b2 when a = 2 and b = -2

Answers

Given:

a = 2 and b = -2.

To find:

The value of [tex]a^3+3b^2[/tex].

Solution:

We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.

Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get

[tex](2)^3+3(-2)^2[/tex]

[tex]=8+3(4)[/tex]

[tex]=8+12[/tex]

[tex]=20[/tex]

Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.

Which equation represents a linear function?

Answers

Answer: Equation 3

Step-by-step explanation:

It does not have any exponents, meaning it's linear

Answer:

equation 3

Step-by-step explanation:

no exponents


The following exchange rate is given £1 = 1.15 euros. Convert €7 into euros
euros​

Answers

Answer:

7.

Step-by-step explanation:

The number given in the question €7 is already in euros. Therefore, there is no need to convert into euros again, as it's already in euros.  

~

Answer:

2

Step-by-step explanation:

x - 3.5 = -3.1
solve for x.

Answers

Answer:

0.4

Step-by-step explanation:

The numbers -3.5 and -3.1 have a difference in value of 0.4

An easy way to look at this is to remove the decimal points. 35 - 31 is equal to 4, so that would make the difference 0.4.

Because both numbers are negative, the x must be a positive.

Therefor, 0.4 - 3.5 = -3.1

The answer for this problem is 0.4

You and your friends are having a race, but since you are faster than he is, you decide to give him a head start. He starts 10 m In front if the starting line, while you start on the starting line. You run at 6 meters/ second, while your friend runs at 5.5 meters/ second. After how many seconds will you and your friend be same distance from the starting line?

Answers

Answer:

the number of seconds that you and your friend would be have the similar distance from the starting line is 20 seconds

Step-by-step explanation:

The computation of the number of seconds that you and your friend would be have the similar distance from the starting line is shown below:

As we know that

Speed = Distance ÷ Time

SO,

Time = Distance ÷ speed

= 10 meters ÷ difference in speed

= 10 meters ÷ (6 meters per second - 5.5 meters per second)

= 10 meters ÷ 0.5 meters per second

= 20 seconds

hence, the number of seconds that you and your friend would be have the similar distance from the starting line is 20 seconds

can someone solve this plss (limits) on the pic

Answers

Answer: Y = e^2

The steps are shown in the picture!

-8 x f(0) +4 x g(-8)=

Answers

Answer: -32

Explanation:

Use the graph when it is referring to f(x) and g(x) to find those answers.

-8 * 1 + 4 * -6 = -32

help with this homework thanks

Answers

Answer:

240

Step-by-step explanation:

3 times 80 is 240 and 7 times 80 is 560. added together is 800. 800 is the total amount of people, so it works.

Is (3, 1) a solution to the equation y = 3x?

Answers

Answer:

no

Step-by-step explanation:

it does not fall on the line

Help I need answers plzplzplz

Answers

A is the answer i think :)

Answer:

(2,0) , (4,-20) and (-1,-1)

Step-by-step explanation:

1) Find Area of this polygon 4 cm I 5cm 1 cm 7 cm and the other one

Answers

For the top problem, you split it to make two rectangles and so you have 4 times 5 =20 plus 1 times 3 so the answer is 23cm squared

60/ 7.55

(divided)

show work please

Answers

Answer:

I think the answer is 7.9

Step-by-step explanation:

u can change them into a mixed number and divide them

nnjcvhjyhufghughjexcvbh

Answers

Answer:

hold on what I can't see that sorry it's really blur

question;
3^n-3^n-1 ÷3^n+1+3^n


plz full explaination !if I got answer then brainleast if I get nonsense answers I will report !

plz fast!!!!!​

Answers

Answer:

okay so I am assuming we are dividing okay so here is how we will do it

here are the top and bottom values written more easily

3^n -3^n-1

3^n+1 +3^n

so first we can cancel out the 3^n values then get left with this

3^n-1

3^n+1

now it depends on the instructions but you can leave it like this or you can subtract their powers to get

3^n-2

Step-by-step explanation:

Simplify: 2k(14) + 7(2k) - 2

Answers

Answer:

42k-2

step by step equation:

calculator apps

                                                                                     

What is the graph of the function rule y=1/3x−1

Answers

The answer is B
the y-intercept is -1 so it will go through-1 on the y-axis.
the slope is 1/3 so rise or run

Here are six number cards -4,-2,-1,5,6,8
arrange the cards into three pairs with the same total

Answers

Answer:

5 and 6 and -1

6 and 8 and -4

5 and 8 and -2 and -1

Step-by-step explanation:

They all add up to 10.

The trick is to first figure out if you can combine 5 6 or 8 together, then use the negative numbers to subtract as needed to reach you number. If you add 5 and 6, that is 11, but -1 can make 10. When you add 8 and 6, that is 14. But good thing you have the -4 to make 10. You start with the smallest number found from adding together two numbers from the positive pile like 5 and 6.

You can make other combinations as well. 11 could work too.

please click heart to give thanks :) c

The pairs of cards are  (-4, 8), (-1, 5) and (-2, 6) respectively.

What is addition?

Addition is a mathematical operation which used to count the things when are together. The addition of two positive integers are greater than both of them while for negative integers it is less than both of them.

Given that,

The different cards having numbers on them are as below,

-4, -2, -1, 5, 6, 8.

In order to select them into three pairs having the same sum make the pair as follows,

Add each positive number to each of the negative numbers and then select the pair of numbers having the same sum.

Thus, it is obtained as,

-4 + 8 = 4

-1 + 5  = 4

-2 + 6 = 4

Hence, the required pairs of cards are (-4, 8), (-1, 5) and (-2, 6) respectively.

To know more about addition click on,

https://brainly.com/question/29464370

#SPJ2

Plz help and I will give brainliest

Answers

Answer:

6 True False True False

7 41.979

Step-by-step explanation:

6. 24 and 18. 24 is 2*2*2*3 and 18 is 3*3*2

Common is 6.

so a is correct.

B is wrong because they have to be the same

C is correct.

D is wrong because 48 does not go into 18 easily.

12.329+10.45+19.2

41.979

Hope this helps :D

Please help me im very depressed and im struggling a lot on my math and i really need some answers

Between which two numbers will you find 5.634 x 10^2?
A. 0.0562 and 0.0563
B. 0.0563 and 0.0564
C. 562 and 563
D. 563 and 564

Answers

Answer:

its B. 0.0563 and 0.0564

Answer:

I'm so sorry about your situation! The answer would be D

Step-by-step explanation:

5.634 times 10^(2)= 563.4

WHAT IS THE ANSWER BECAUSE I POSTED THIS LAST TIME AND NO-ONE KNEW PLZ

Answers

Answer:

I think Paolo read more

Step-by-step explanation:

Because 35 percent of 40 equals 14, and Kamesh read 12 so Paola has read 2 more books than Kamesh.

Determine whether the given points are on the graph of y=2x+3 .
Select all points that lie on the graph.
(-4,-5)
(-3,-3)
(-1,0)
(-1,-4)

pls hurry I need help I will give brainiest also this question does not require a graph so I didn't send one

Answers

Answer:

(-4,-5) (-3,-3)

Step-by-step explanation:

[tex](-4,-5),(-3,-3)[/tex]

Coordinate GraphA coordinate graph is made up of two number lines that are perpendicular to each other. Axes are the names given to these numerical lines. Ordered pairs indicate positions on a coordinate graph. An ordered pair [tex](x,y)[/tex] is a coordinate graph location.

Given equation is [tex]y=2x+3[/tex]

Put [tex](x,y)=(-4,-5)[/tex]

[tex]-5=2(-4)+3\\-5=-5[/tex]

Put [tex](x,y)=(-3,-3)[/tex]

[tex]-3=2(-3)+3\\-3=-3[/tex]

Put [tex](x,y)=(-1,0)[/tex]

[tex]0=2(-1)+3\\0\neq 1[/tex]

Put [tex](x,y)=(-1,-4)[/tex]

[tex]-4=2(-1)+3\\-4\neq 1[/tex]

So, [tex]\boldsymbol{(-4,-5),(-3,-3)}[/tex] lie on the graph [tex]y=2x+3[/tex]

Find out more information about the graph:

https://brainly.com/question/14375099?referrer=searchResults

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