1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shkiper50 [21]
3 years ago
11

On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for

adults. The receipts for admission totaled $752.75. How many children and how many adults swam at the public pool that​ day?
Mathematics
1 answer:
Tomtit [17]3 years ago
6 0

127 children and 264 adults swam at the public pool that day

Step-by-step explanation:

On a certain hot​ summer's day

  • 391 people used the public swimming pool
  • The daily prices are $1.25 for children and $2.25 for adults
  • The receipts for admission totaled $752.75

We need to find how many children and how many adults swam at the public pool that​ day

Assume that the number of children is x and the number of adult is y in that day

∵ x children swam that day

∵ y adults swam that day

∵ 391 people used the swimming pool that day

- Add x and y, then equate the sum by 391

∴ x + y = 391 ⇒ (1)

∵ The daily price for children is $1.25 per child

∵ The daily price for an adult is $2.25

∵ The receipts for admission totaled $752.75

- Multiply x by 1.25 and y by 2.25, then add the products and

  equate the sum by 752.75

∴ 1.25x + 2.25y = 752.75

- Divide each term by 1.25 to simplify the equation

∴ x + 1.8y = 602.2 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate x

∵ (x - x) + (1.8y - y) = 602.2 - 391

∴ 0.8y = 211.2

- Divide both sides by 0.8

∴ y = 264

- Substitute the value of y in equation (1) to find x

∵ x + 264 = 391

- Subtract 264 from both sides

∴ x = 127

127 children and 264 adults swam at the public pool that day

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

You might be interested in
5x+4y = -14<br> 3x+6y=6<br> What is the answer
iren [92.7K]

Hallo! Her er svaret ditt på dette spørsmålet! ☺

Answer: If you are solving by Substitution, your answer will be...

Point form : (-6,4)

Equation form : x=-6 , y=4

Step-by-step explanation: Solve for the first variable in one of the euations, then substitute the result into the other equation.

Hope this helps you out! ☺

4 0
3 years ago
C<br> Solve for m:<br> 3/4m - 3 = 9<br> May I please have help!
MAVERICK [17]

Answer:

m=16

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  3/4*m-3-(9)=0

Step 1: Simplify 3/4

Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0

Step2: Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

        3     3 • 4

   3 =  —  =  —————

        1       4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m - (3 • 4)                               3m - 12

—————4———————  =  ———4————

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(m-16)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (m-16)  = 0

6.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    m-16 = 0

Add  16  to both sides of the equation :

                     m = 16

6 0
2 years ago
Which choice shows that “What was the purpose of the Inca’s strange strings?” Is a persuasive text?
podryga [215]

Answer:

c

Step-by-step explanation:

6 0
2 years ago
The length of a rectangle is 5 feet and the width is x the perimeter is less than 15 feet write and solve an inequality to find
topjm [15]

Answer:

5 ft * x ft

x ≤ 3 ft

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The function has an intercept of -2 and y intercept of -2/3. Write an equation.
poizon [28]

Answer:

y= -1/3x - 2/3

Step-by-step explanation:

y- intercept is (0, -2/3) and the x intercept is (0, -2).

To find the slope of an equation, you do rise over run. To get from (0, -2/3) to (0, -2), you rise 2/3 and run -2. 2/3 divided by -2 is -1/3, that is where you get the slope from.

6 0
3 years ago
Other questions:
  • Which statement describes the graph?
    7·1 answer
  • An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva
    13·2 answers
  • For breakfast perry adds 1/8 cups of berries to his oatmeal.He has 7/8 cup of berries in his fridge.How many days can he have br
    15·1 answer
  • PLEASE SOMEONE HELP!! I need the answer right now
    9·1 answer
  • What is the area of the shaded figure
    14·1 answer
  • There is a 200 guests limit allowed in the venue. The catering company is bringing 15 people to the event. Each guest is bringin
    6·1 answer
  • I NEED HELP!!! Can someone please help me
    11·2 answers
  • -6x-8&lt;4 plz help me this is sixty percent of my grade
    5·1 answer
  • A nature center has a fish tank in the shape of a rectangular prism the tank is 10 feet long and 8 1/4 feet wide and 6 feet tall
    12·2 answers
  • A(n)=−5+6(n−1)<br> What is the 12th term in the sequence
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!