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1 June, 23:54

The admission fee is $1.50 for children and $4.00 for adults. If 2700 people enter and $7800 is collected how many children and how many adults attended.

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  1. 2 June, 00:19
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    1200 children and 1500 Adults

    Step-by-step explanation:

    Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as

    x+y=2700 (Equation 1)

    and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as

    1.50x+4y=7800 (Equation 2)

    Extracting the value of y from equation 1

    Y=2700-x (Equation 3)

    Putting the value of y from equation 3 into equation 2

    1.50x+4 (2700-x) = 7800

    1.50x+10800-4x=7800

    1.50x-4x=7800-10800

    -2.5x=-3000

    Cancellation of negative signs on both sides

    x=3000/2.5

    x=1200

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

    y=2700-1200

    y=1500
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