On a certain hot​ summer's day, 340 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $537.50.How many children and how many adults swam at the public pool that​ day?

Answers

Answer 1

Answer:

190 children and 150 adults

Step-by-step explanation:

1. 1.25x + 2y = 537.5

2. x + y = 340

Here, x represents the children and y represents the adults.

Again, the first equation represent the cost of tickets, while the second represents the number of people.

From the above equation, we can solve for x and y

From equation 2,

x + y = 340

x = 340 - y

Substitute for x in equation 1

1.25x + 2y = 537.5

Then,

1.25(340 - y) + 2y = 537.5

Expand the bracket

425 - 1.25y + 2y = 537.5

Collect like terms

-1.25y + 2y = 537.5 - 425

0.75y = 112.5

y = 150.

To get the value of x, substitute for y in equation 2

x + y = 340

x + 150 = 340

x = 340 - 150

x = 190

Therefore,

There were 190 children and 150 adults at the pool that day


Related Questions

please help me!!!!!

one month Ahmad rented 3 movies and 5 video games for a total of $42. The next Month he rented 9 movies and 7 video games for a total of $72 . find the rental cost for each movie in each video game ​

Answers

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

Step-by-step explanation:



A train moves at a constant speed. The train travels 13 miles in 1/6hour What is the train's speed in miles per hour

Answers

Answer:

I think the answer is 78.

Answer:

Answer is 2

Step-by-step explanation:

Because The other answers dont punctuation and answer 2 explains as the president

Use Pythagorean theorem....
I remember doing this but I forgot how.​

Answers

Answer:

x = 41

Step-by-step explanation

9^2 + 40^2 = x^2

81 + 1600 = 1682

square root of 1681 = 41

x = 41

40)Find the slope of the line containing the points (5, -1) and (-8, -4).
A. 313
B. 133
C. −53
D. 53

Answers

9514 1404 393

Answer:

  A.  3/13

Step-by-step explanation:

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

Using the given points, this is ...

  m = (-4 -(-1))/(-8 -5) = -3/-13 = 3/13

Can somebody please help me with these pleaseeeee!

Answers

First one is 360-(74+84+100)=102
Second one is 180-(120+24)= 36

how many vowels does Dwayne Johnson have in his name​

Answers

Answer:

3

Step-by-step explanation:

a, e, and o

Answer:

4 vowels with but he has two o’s

Step-by-step explanation:

A ,y e, o,

What does 6(4c-2) simplify as?
Help pleas

Answers

Step-by-step explanation:

[tex]\tt{ 6(4c-2) }[/tex]

[tex]\tt{ 24c-12 }[/tex]

What is the solution to this system of equations? 5x + 2y= 29
x + 4y = 13

A x = 5, y = 3
B. x=2, y=5
C. X= 5, y = 2
D. x= 3, y = 2​

Answers

Answer:

C

Step-by-step explanation:

Given the 2 equations

5x + 2y = 29 → (1)

x + 4y = 13 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 10x - 4y = - 58 → (3)

Add (2) and (3) term by term to eliminate y

- 9x + 0 = - 45

- 9x = - 45 ( divide both sides by - 9 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 4y = 13 ( subtract 5 from both sides )

4y = 8 ( divide both sides by 4 )

y = 2

Solution is x = 5, y = 2 → C

Answer:

c) x = 5, y = 2

Step-by-step explanation:

Re-write the quadratic function below in Standard form
Y= −3(x+1)(x−3)

Answers

Answer:

Y=−3x2+6x+9

Step-by-step explanation:

I’m not good at graphs :(

Answers

Answer:

D -2/5

Step-by-step explanation:

So first you count up or down from a point, that's 2

then you'll count side to side that's 5

2/5

but this is a negative slope because it's pointing up to the left

-2/5 is the slope

Answer:

:)

Step-by-step explanation:

19/10 equals x - 23/6


Please help me quickly!!!

Answers

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

I need help asap pls

Answers

you can use HL to because the triangles have 2 sides and an angle similar

-5/4 divided by 6/9=? whats the answer?

Answers

Answer:

Step-by-step explanation:

!!

Rhion sat maths and English test
In the maths she scores 14 out of 17
In th english test she scored 31 out of 39
which one did she do better.

Answers

Answer:

Rhion did better in maths test.

Step-by-step explanation:

Given that:

Rhion scored 14 out of 17.

We will find percentage and then compare them.

Percentage = [tex]\frac{Score}{Total\ marks}*100[/tex]

Percentage = [tex]\frac{14}{17}*100[/tex]

Percentage = 82.35%

Rhion scored 31 out of 39.

Percentage = [tex]\frac{31}{39}*100[/tex]

Percentage = 79.48

On comparing,

82.35 > 79.48

Hence,

Rhion did better in maths test.

Find the difference (6d+5)−(2−3d)

Answers

Answer:

9d +3

Step-by-step explanation:

plz brainliestt

Answer:

9d+3

Step-by-step explanation:

(6d+5)-(2-3d)

First, I like to put a 1 in front of the second grouping of numbers to help me with the distributing:

(6d+5)-1(2-3d)

Distribute the -1:

(6d+5)-2+3d

Remove parenthesis and combine like-terms:

9d+3

Describe fully the single transformation which takes shape A to shape B

Answers

sorry sir i dont really know

The last one is y-2=-(x-4) sorry I couldn’t fit it all in

Answers

Answer:

y + 2 = (x - 2)

Step-by-step explanation:

From the graph, you can see that when y = 0, x = 2, and vise versa. Taking this into consideration, if y = 4, x = 2, so, the answer is y + 2 = (x - 2)

Can someone help me please?

Answers

Answer:

-2 tiles

Step-by-step explanation:

In each figure, 5 tiles are added.

Subtract 5 from how many tiles are in Figure 2 (8 tiles) & you get 3.

3 is how many tiles are in Figure 1, meaning you need to subtract 5 again to see how many are in Figure 0! 3-5 = -2.

Hope this helps! x

4. A one-year membership in a video rental club costs $10. Members pay $1.25 per video rental. You spend $45 in one year. How many videos did you rent?

how do u solve this????

Answers

Answer:

28 rentals

Step-by-step explanation:

$45-$10 membership=$35 on rentals at $1.25 each.

Then $35/$1.25=28 rentals

PLZ HELP ME! THANK YOU PLZ
consider the system of equation below 4x-8y =12 11x+7y=33

Part A: The equation 2x – 4y = 6
-can be used to create an equivalent system.
-can’t be used to create an equivalent system.
Part B: The equation 22x + 7y = 33
-can be used to create an equivalent system.
-can’t be used to create an equivalent system.

Answers

Answer:

first part is can be used to create an equivalent system and second part is can’t be used to create an equivalent system i think

Answer:

first can

second cant

Step-by-step explanation:

What is the number model

Answers

Answer:

A number model in math is a sentence that illustrates how the parts of a number story are related. The equation may include addition, subtraction, division and multiplication and may be expressed as words or in number form.

Step-by-step explanation:

Answer:

Sometimes abbreviated as model or model no., a model number is a unique number given to each product made by computer hardware manufacturers. Model numbers allow manufacturers to keep track of each hardware device and identify or replace the proper part when needed.

Step-by-step explanation:

Anay has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.

Answers

If you’re looking for the probability it’s 1/10
It is 1/10 I hope this helps

Multiply (2 + 3i) with (3 – 4i)

Answers

Answer:

-12i^2 + i +6

Step-by-step explanation:

(2 + 3i)(3-4i)

6 - 8i + 9 i - 12i^2

combine like terms

-12i^2 + i + 6

Hope this Helps!!!

The answer is 18 + i
Here is the work on how I got the answer

$250.00 memberships were discounted 56%! Do you know how much I'll pay for that membership now?

Answers

Answer:

Step-by-step explanation:

to find out you will

250*56/100=140 this is the discount

250-140=110 you will pay for membership

Answer: 110 %

Step-by-step explanation:

Part C
A blockbuster movie makes about $247,000,000 in the United States during its
opening weekend. That same weekend another movie opens but only makes
about $5,200,000.
Part C
How much more did the blockbuster movie make? Write your answer in
scientific notation.
Show your work.

Answers

Answer:

The blockbuster movie did $241,800,000 more than the other movie.

Step-by-step explanation:

$247,000,000 - $5,200,000 = $241,000,000

If this is not how you're supposed to do it, I'm sorry but that's the easy way I found how to do it.

Jill orders t-shirts on Amazon. Each shirt costs $15.00 including tax. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Jill's order is $78.25. How many t-shirts did Jill order? *

Answers

Answer:

5 shirts

Step-by-step explanation:

Step one:

given data

Each shirt costs $15.00 including tax.

A one-time shipping fee of $3.25

The total cost of Jill's order is $78.25

Step two:

let the number of shirts be x

so

y=15x+3.25

for y= $78.25, let us find x

78.25=15x+3..25

collect like terms

75= 15x

divide both sides by 15

x=75/15

x=5

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He used an incorrect time ratio converting hours to minutes. His units do not cancel. He used an incorrect distance ratio converting miles to feet. He incorrectly concluded that she is not running fast enough. He cannot determine her average rate in miles per hour after only 15 minutes.

Answers

Answer:

a.  He used an incorrect time ratio converting hours to minutes.

d. He incorrectly concluded that she is not running fast enough.

Step-by-step explanation:

Looking at the Coach's method of conversion when converting time, he assumed that an hour had 15 minutes instead of 60 minutes. He therefore did not use the correct time ratio to convert hours to minutes.

The coach's calculations yielded an answer of 34 ft/s. This is way faster than 8.8 ft/ s so his deduction that she was not running fast enough to beat her fastest time is incorrect because at that inhumane speed, she did.

Answer: A.)He used an incorrect time ratio converting hours to minutes.

D.)He incorrectly concluded that she is not running fast enough.

Step-by-step explanation: i hope this helps :)

Which equation can be used to find the value for X?

Answers

Answer:

(3x-5) + 2x = 90

Step-by-step explanation:

We know that there are 180 degrees in a triangle. We also know that one angle is 90 degrees.

This means that (3x-5) + 2x = 90.

Help meee plesee.......

Answers

Answer:

it's A: Tuesday

Step-by-step explanation:

wensday - friday show a gradual increase in tempature. While monday and tuesday show a sharp increase.

Answer:

Tuesday

Explanation:

There is the biggest amount of increase between Monday and Tuesday.

The surface area of each face of a cube is (x

2 + 6x + 9) m2

Find an expression for the,
i. length of each edge

Answers

Answer:

length of each edge = (x + 3)

Step-by-step explanation:

The surface area of each face of the cube = ([tex]x^{2}[/tex] + 6x + 9) [tex]m^{2}[/tex]. But the surface of a cube has the shape of a square. So that,

Area of a square = length x length

                            = [tex]l^{2}[/tex]

By factorizing the area,

[tex]x^{2}[/tex] + 6x + 9 = [tex]x^{2}[/tex] + 3x + 3x + 9

                  = ([tex]x^{2}[/tex] + 3x) (3x + 9)

                  = x(x +3) + 3(x + 3)

                  = (x + 3)(x + 3)

                  = [tex](x + 3)^{2}[/tex]

[tex]x^{2}[/tex] + 6x + 9 = [tex](x + 3)^{2}[/tex]

Thus,

[tex](x + 3)^{2}[/tex] = [tex]l^{2}[/tex]

find the square root of both sides

l = (x + 3)

length of each edge = (x + 3)

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