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On a certain hot​ summer's day, 571 people used the public swimming pool. The daily prices are $ 1.25 for children and $ 2.25 for adults. The receipts for admission totaled $ 1008.75 .  How many children and how many adults swam at the public pool that​ day?

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Answer:

There are 276 Children and 295 adults.

Step-by-step explanation:

Suppose x be the children and y be the adults as total people are 571 that have used the pool so we can write an equation as  

x+y=571    (Equation 1)

and as per child $1.25 is the cost and $2.25 for every adult and collectively admissions totaled as $1008.75 so we can write the equation as  

1.25x+2.25y=1008.75 (Equation 2)

Extracting the value of y from equation 1

y=571-x (Equation 3)

Putting the value of y from equation 3 into equation 2

1.25x+2.25(571-x)=1008.75

1.25x+1284.75-2.25x=1008.75

1.25x-2.25x=1008.75-1284.75

-x=-276

Cancellation of negative signs on both sides

x=276  

Putting the value of x in equation 3 to get the value of y

y=571-276

y=295

[x,y]=[276,295]

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