On a certain hot​ summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer:

a = 242  adult and  c = 52 children

Step-by-step explanation:

Solving as a system of equations.

a = adult

c = children

The adult and the children equal 294 people

  a + c = 294

adult cost is 2.25 per adult

Total amount of adult is 2.25a because the number of adult are not given.

children cost is 1.75 per children

Total  amount children is 1.75c because the number of children  are not given

Total receipts $635.50.

a + c = 294                         multiply by -1.75           -1.75a - 1.75c = - 514.50

2.25a + 1.75c = 635.50     does not change           2.25a + 1.75c =  635.50

Add these equations together

-1.75a - 1.75c = - 514.50

2.25a + 1.75c =  635.50    

.50a              =   121.00

   a = 121.00/.50a

   a = 242  adult

a + c = 294

242 + c = 294

         c = 294 - 242

          c = 52 children

Check:    $2.25(242) + $1.75( 52) = $635 .50

              $544.50 + $91.00 =  $635.50

                   $635.50 = $635.50


Related Questions

Please please solve this quickly. I've tried many things before, and I have no clue what the answer is.

Answers

The width is 3 and the height is 3

If a = 8 and b = 36 calculate the value of a^(1/3) b^(-3/2)

Answers

Answer:

[tex]\frac{1}{108}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^m}[/tex]

[tex]a^{\frac{1}{3} }[/tex] × [tex]b^{-\frac{3}{2} }[/tex] ← substitute a = 8 and b = 36

= [tex]8^{\frac{1}{3} }[/tex] × [tex]36^{-\frac{3}{2} }[/tex]

= [tex]\sqrt[3]{8}[/tex] × [tex]\frac{1}{36^{\frac{3}{2} } }[/tex]

= 2 × [tex]\frac{1}{(\sqrt{36})^3 }[/tex]

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

= 2 × [tex]\frac{1}{216}[/tex]

= [tex]\frac{1}{108}[/tex]

Which point is a solution for the inequality 3x – 2y < 5


a (3, 2)

b (2, 3)

c (5, 2)

d (8, 5)

how do I solve this?

Answers

You can solve this by substituting each x value and y value into the inequality to see if they work. If they do, that point is a solution.

3*3 - 2*2 < 5
9 - 4 < 5
5 < 5
False

3*2 - 2*3 < 5
6 - 6 < 5
0 < 5
True

3*5 - 2*2 < 5
15 - 4 < 5
11 < 5
False

3*8 - 2*5 < 5
24 - 10 < 5
14 < 5
False

B. (2, 3) is the only point that worked, so that is the answer! :D

What is the interquartile range of the lengths of bananas?

Answers

Answer:

I couldn't decipher your question heres a graph for https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984252/

that contains quartile ranges of stored bananas

Step-by-step explanation:

If this doesn't help please correct your question or tell me more so I can better help you

Can someone help me on these two questions? NO LINKS!

Answers

Answer:

6. a   7. c

Step-by-step explanation:

6. 72 is multiple of 24 and has 18 as a factor

7. 56= 32= 88

   8(7+ 4)

=) 56+ 32= 88

OR

=) 8(11)= 88

It would be…
56+32=88
8(11)=88

(x + y) (x -y) simplfied and showing work

Answers

Answer:

(x+y) + (x-y) = x + y + x - y =2x

(x+y)(x-y)=x^2 + yx - xy - y^2 = x^2 - y^2

(x+y) ( x-y)

x^2 - y^2

Step-by-step explanation:

. Suha has a full 600 ml bottle of wallpaper remover. She is going to mix some of the wallpaper remover with water. Here is the information on the label of the bottle. Wallpaper remover 600 ml 1 Mix of the wallpaper remover 4 with 4500 ml of water Suha is going to use 750 ml of water. How many millilitres of wallpaper remover should Suha use? You must show your working.​

Answers

Answer:

25ml of wallpaper remover

Step-by-step explanation:

(y = amount of wallpaper remover)

4500×4 = 18000

18000:600

750    : y

18000y = 600×750

18000y = 450000

y = 450000÷18000

y = 25

I need help plss!!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

are you the same dude I just answered or are two people taking the same test lol

c = x/y = 5/2

C= x/y
Which In this instance would be 5/2

Could someone explain this to me?

Answers

Answer:

B.97

Step-by-step explanation:

Heyy so angle ADC and DAB are supp to one another, thus

83 + DAB = 180 --> subtracting

DAB =97. B

Hope that made sense :)

If Val walls 1/2 mile for every 3/4 mile she runs if she walked 2 miles how many miles did she run

Answers

Answer: She ran 3 miles

Explanation:
1/2 miles walked) • X = (2 Miles walked)

X= 4

4 • 3/4 miles ran = 12/4 miles ran = 3 miles ran.

What is the scale factor from 125% to 100%?

Answers

Answer: 4:5

Step-by-step explanation:

Answer:

4:5

Step-by-step explanation:

find slope and y intercept
x + y = -2

Answers

Answer:

slope =1 and y intercept = -2

Step-by-step explanation:

Find Slope and Y intercept

Slope and Y intercept

x+y=-2<-- subtract x to get y alone

y=-x-2

Thus slope is 1/1 or 1

and y intercept is -2

Answer:

-1

Step-by-step explanation:

y=mx+c  m=slope

c=y intercept

y=-x+2

so the slope is -1 and intercept of 2

What number is 73% of 14.6

Answers

Answer:

10.658

hope it helps

Answer:

10.658

Step-by-step explanation:

14.6 = 100%

? = 73%

73% ÷ 100% x 14.6

= 10.658

10.658 = 73%

plsss help me with this:((((​

Answers

Answer: c.  x + 3

Step-by-step explanation:

The first equation tells us the total area of the cloth.  The second is the area of each piece.  Divide the total area by the piece area to determine how many individual pieces can be made.

(x^3 + 27) can be factored into:

(x+3)(x^2 - 3x + 9)   [Not easy, but true]

[(x+3)(x^2 - 3x + 9)]/(x^2 - 3x + 9)

(x^2 - 3x + 9) is on both sides, so it cancels, leaving (x + 3)

If anyone could plz help ill really appreciate it

Answers

Answer:

Help with what is it mental help? Or no cause I’ve dealt with that a lot

Step-by-step explanation:

HELP ME PLEASE IS IMPORTANT AND ASAP!
Determine whether f(x)= 5 - 2x2 -5x has a maximum or a minimum value and find that value.

Answers

Answer:

maximun (0,5)

Step-by-step explanation:

Answer:

So, I put Maximum. (-5/4, 65/8) and it was correct

Step-by-step explanation:

I don't know how to do step by step sorry

Part A

In "Primary Lessons" from Silent Dancing: A Partial Remembrance of a Puerto Rican Childhood, what can the reader infer about how the narrator will ultimately feel about going to school?

She will misbehave there constantly to punish her mother for sending her.

She will become used to it, knowing everyone must go.

She will become an academic herself as she begins a lifelong quest for learning.

She will remain upset and fight her mother every single day.
Question 2
Part B

Which sentence in the text best supports the answer in Part A?

"It was my final argument, and it failed miserably because I was shouting my defiance in the language I claimed not to speak."

"How could she send me to school to learn Spanish when we would be returning to Paterson in just a few months?"

"I guess most children can intuit their loss of childhood’s freedom on that first day of school."

"The sight of my cousins in similar straits comforted me."

Answers

Answer:

a) she will become used to it, knowing everyone must go.

b) i guess most children can intuit their loss of childhood's freedom on that first day of school.

Explanation: i took the quiz

Can someone solve plzzz .

Answers

Answer:

you have to use multiplication maybe division and addition

Step-by-step explanation:

Evaluate each expression for a=7,b=4,and c=-3.

3a-5b =________

7-3a+5a+15 =________

15a^2-17〖bc〗^2 =________

Pls help me

Answers

Answer:

Step-by-step explanation: 3a-5b= 3(7)-5(4)

                                                       =21-20

                                                       =1

7-3a+5a+15=7-3(7)+5(7)+15

                   =7-21+35+15

                   =-14+50

                   =36

15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2

                         =105^2-204^2

                         =210-408

                         =-198

ben bolwed 138 and 208 in his first two games. What must he bowl in his third game to have an average of at least 170?

Answers

Answer:

at least 164

Step-by-step explanation:

Let the third score = x.

(138 + 208 + x)/3 ≥ 170

x + 346 ≥ 510

x ≥ 164

Answer: at least 164

A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours. How long would it travel in 2 hours?

Answers

150 / 2.5
60 miles per hour
60 X 2 = 120
120 miles in 2 hrs

Which of the following sets here the closure property w.r.t. Addition
(A) {0}
(B) {0, -1)
(C) (0, 1)
)
(D) {1,V3.

Answers

Answer:

the answer is number 1 make my answer brainlist answer

decrease £67 by 26% give your answer in pounds

Answers

Answer:

£ 49.58

Step-by-step explanation:

26% of 67 = 0.26 * 67 = £17.42

67 - 17.42 = £49.58

Since it isn’t asking for 26% off of 67, you use the number 74% because 26+74=100

Now, you multiply

.74x67

The answer will be

£49.58

Hope this helps!!

jonshelle is developing a new bread recipe. the relationship between cups of water,w, and cups of flour,f, is w= 3/5f. what is the scale to water to flour

Answers

Answer:

3:5

Step-by-step explanation:

ratio!

Isolate the x

x + y/3 = 5

Answers

Answer:

x = 5 - y/3

Step-by-step explanation:


PLEASE HELP THIS IS DUE IN CLASS TODAY

Answers

Hey I dont know that answer but if you download Gaumath and take a picture of the problem the tutors on there will help you for free



Painted Pots lets customers choose and paint their own pottery. The store has teapots in
multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also
painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
3
Which equation can you use to find c, the cost of each teacup?
Time
elapse
00
09
18(C + 4) = 42
40 + 18 = 42
SmartSco
Out of 100
18C + 4 = 42
4(0 + 18) = 42
What was the cost of each teacup?

Answers

Using a linear equation, we find c using:

[tex]42 = 18 + 4c[/tex]

A linear function has the following format:

[tex]A(n) = A(0) + cn[/tex]

In which:

c is the slope, which is the price per unit.A(0) is the y-intercept, which is the fixed price.

In this problem, fixed price of $18, hence [tex]A(0) = 18[/tex]

She bough 4 units, and it cost $42, hence: [tex]n = 4, A(n) = 42[/tex]

Then

[tex]A(n) = A(0) + cn[/tex]

[tex]42 = 18 + 4c[/tex]

Hence, the equation to find c is:

[tex]42 = 18 + 4c[/tex]

A similar problem is given at https://brainly.com/question/16302622

Please help asap!! Thanks:) and please don’t answer just for points

Answers

Answer:

68 ft^2

Step-by-step explanation:

Find the area of the large rectangle as if the piece were there

A = l*w

A = 6 * 14

A =84

Subtract the area of the square that is missing

A = 4*4 = 16

84 - 16 =68

The area of the figure is 68 ft^2

A shopping mall has $3,368 to spend on new tiles for the floor. If each tile costs $8, how
many tiles can the mall buy?
tiles

Answers

Answer:

421 tiles

Step-by-step explanation:

3368/8=421

Answer:

421 tiles

Step-by-step explanation:

Divide $3368 by $8 to determine the number of tiles the store can purchase:

$3368/($8 per tile) = 421 tiles

Members of a soccer team raised $1428 to go to a tournament. They rented a bus for $955.50 and budgeted $31.50 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.

Answers

Answer:

16 players can be brought to the tournament. The equation is written within my step-by-step explanation.

Step-by-step explanation:

Variable p = number of players

Set up an equation:

974.50 + 60.75p = 1946.50

Isolate variable p:

60.75p = 972

Divide:

p = 16

Check your work:

974.50 + 60.75(16) = 1946.50

974.50 + 972 = 1946.50

1946.50 = 1946.50

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