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
34,000 people attended a ballgame at a stadium that offers two kind of seats: general admission and reserved. The day's receipts
hoa [83]

Answer:

The number of people who paid $ 12 for reserved seat is 5,000

The number of people who paid $ 4 for general seat is 29,000  

Step-by-step explanation:

Given as :

The total number of people attending a ballgame = 34,000

The total receipt of the ticket's seat = $ 176,000

The amount pad for reserved seat = $ 12

The amount paid for general admission = $ 4

Let The number of people for reserved seat = r

And The number of people for general admission = g

Now, According to question

The total number of people attending a ballgame =  The number of people for reserved seat + The number of people for general admission

or, r + g = 34,000           ...........1

The total receipt of the ticket's seat = The amount pad for reserved seat × The number of people for reserved seat + The amount paid for general admission × The number of people for general admission

Or, $ 12 × r + $  ×4 g = $ 176,000           .........2

or, $ 12 × ( r + g ) = $ 12 × 34000

Or, $ 12 r + $ 12 g = $ 408,000

Solving equation

( $ 12 r + $ 12 g ) - ($ 12 r + $ 4 g ) = $ 408,000 - $ 176,000

Or, ( $ 12 r - $ 12 r ) + ( $ 12 g - $ 4 g ) = $ 232,000

Or 0 + 8 g = 232,000

∴  g = \frac{232000}{8}

I.e g = 29,000

So , The number of people for general admission = g = 29,000

Put the value of g in Eq 1

I.e  r + g = 34,000  

or , r = 34,000 - g

∴  r = 34000 - 29000

I.e r = 5,000

So, The number of people for reserved seat = r = 5,000

Hence The number of people who paid $ 12 for reserved seat is 5,000

And The number of people who paid $ 4 for general seat is 29,000  Answer

6 0
3 years ago
Use the Associative Property of Addition to write an expression equivalent to (n + 2) + 7. Which expression is equivalent to (n
insens350 [35]

Answer:

The correct answer is OB.

Step-by-step explanation:

Let us recall the Associative Property of Addition: given three real numbers a, b and c the following equality holds:

(a+b) + c = a+(b+c).

Let us remark that the Associative Property of Addition tells us that we can perform the sums in any order.  So,

(n+2)+7 = n+(2+7).

In the other options there was used the Commutative Property of Addition.

6 0
3 years ago
On a trip last summer, I used 20 gallons of gas to travel 600 miles. At this rate, how much gas
Reptile [31]

Answer:

45,000

Step-by-step explanation:

You should divide 20 by 600 to see how many miles he would run per mile

and you take 30 x 1,500 to get your answer

8 0
3 years ago
7) Newton sees 50 frogs in the morning, and 7 fewer frogs in the
mario62 [17]

Answer:

93

Step-by-step explanation:

8 0
2 years ago
What is the Slope of the line
vampirchik [111]

Answer:

m=\frac{-3}{4}

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Simply plug in 2 coordinates into the slope formula to find slope <em>m</em>:

m=\frac{-4-(-1)}{5-1}

m=\frac{-4+1}{4}

m=\frac{-3}{4}

5 0
2 years ago
Other questions:
  • Patrick has seen 4 ACTION movies, 1 ANIMATED movie, 3 COMEDY movies, and 2 DRAMA movies. Determine the ratio of comedies to the
    10·1 answer
  • At noon, the temperature in Deliberate, Texas was
    6·1 answer
  • A scientist studies the population of an insect colony. She begins her study with 10,000 insects in the colony and measures the
    13·1 answer
  • Who is the biggest 1/2 or 3
    13·2 answers
  • Which of the following is true?
    7·2 answers
  • Yesterday the temperature at noon was 15.3°F. By midnight, it had gone down by 26°F. What was the temperature at midnight?
    11·1 answer
  • Kale is hiking 2,345 feet above sea level. The peak of the mountain he is climbing is 3,283 feet above sea level. What is the ve
    5·2 answers
  • Help me with this 35points
    6·1 answer
  • Answer the following questions:
    10·1 answer
  • Drag the correct symbol into the box to compare the expressions.<br> 62–22 Response area 4(6+2)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!