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
tresset_1 [31]
3 years ago
7

If 541 people use the swimming pool and children pay 1.75 dollars and adults pay 2.25 and in total earned was 1041.25 how many c

hildren were there
Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

352 children

Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

let "a" be the number of adults

let "c" be the number of children    <-- We want to find this

a + c = 541             Equation for number of people

2.25a + 1.75c = 1041.25           Equation for money

<u>Rearrange the equation for people</u>. Isolate the variable you don't want to find.

a = 541 - c

<u>Substitute</u> "541 - c", replacing "a", in the equation for money

2.25a + 1.75c = 1041.25              

2.25(541 - c) + 1.75c = 1041.25               Distribute over brackets

1217.25 - 2.25c + 1.75c = 1041.25               Collect like terms

1217.25 - 0.5c = 1041.25                   Simplified equation

<u>Start isolating "c".</u> Move anything that's not "c" to the right side. Move numbers in reverse BEDMAS order. That means we will add/subtract before dividng/multiplying. When moving a number, do its reverse operation to the entire equation.

1217.25 - 0.5c = 1041.25      Do the reverse of positive 1217.25

1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25    Subtract 1217.25 on both sides  

-0.5c = -176               Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5               Divide both sides by -0.5

c = 352                Number of children

Therefore, there were 352 children in the pool.

You might be interested in
Karen is riding her bike at 4 miles per hour she wants to show this on a graph what should she draw
astraxan [27]
Graph needs to be labeled. I labeled it as shown on picture. It also needs a title. The title can be up to you. :) you can title it “Karen riding her bike”

6 0
3 years ago
47 x 68 = 3196 Use this information to work out 31.96 ÷ 0.47 =
Zepler [3.9K]
The correct answer for this question is 68.

5 0
3 years ago
A researcher measured the heights of forty high-school students. The measurements are recorded here.
lord [1]
63 inches is her height

7 0
3 years ago
Read 2 more answers
Can someone help will mark brainlist
Marina86 [1]

Answer:

See below

Step-by-step explanation:

the common ratio, r <1    so it CONVERGES    (r = 1/2 in this series)

sum = a1 ( 1-r^n) / (1-r) =  1000(1-.5^10)/(1-1/2) = ~1998

    for n= 30    this results in ~~2000

As it continues, the terms get smaller and smaller and the SUM converges on 2000.

3 0
2 years ago
I only need number one. <br> Which variable should be the dependent variable?
Natali [406]
The dependent variable is y, that represents the years
5 0
3 years ago
Other questions:
  • The least squares regression line minimizes the sum of the:
    6·1 answer
  • You deposit $1,609 in an account that pays 4% interest compounded yearly . Find the balance at the end of 7 years.
    7·1 answer
  • What is the least common denominator for 5/6 and 3/8
    9·1 answer
  • I need help with this question someone please help ASAP!<br> I’ll mark brainliest!!!!!
    14·1 answer
  • I need help with number 4 please ASAP please!!! Thank you!!
    8·1 answer
  • Caleb made a stack of popcorn balls on a table. He placed 16 on a table then added three more layers on top of them. Each layer
    14·2 answers
  • Please help :) im giving brainlyyyy
    6·1 answer
  • Can you go to my profile and help with some questions please?<br> Please
    10·1 answer
  • Does anyone know this?​
    7·2 answers
  • . A fraction becomes 4 if one is added to both numerator and the denominator If 5 is subtracted from 5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!