The admission fee at an amusement park is $3.25 for children and $5.00 for adults. On a certain day, 278 people entered the park, and

Question

The admission fee at an amusement park is $3.25 for children and $5.00 for adults. On a certain day, 278
people entered the park, and the admission fees collected totaled $1201. How many children and how
many adults were admitted?

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Khánh Gia 4 days 2021-07-19T14:01:41+00:00 1 Answers 1 views 0

Answers ( )

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    2021-07-19T14:02:49+00:00

    Answer:

    Children= 108

    Adults= 170

    Step-by-step explanation:

    First, we structure the two equations:

    x= number of tickets for children

    y= number of tickets for adults

    3.25x + 5y= 1,201

    x + y= 278

    Now, we isolate x in one equation and substitute in the second one:

    x= 278 – y

    3.25*(278 – y) + 5y= 1,201

    903.5 +1.75y = 1,201

    y= 297.5/1.75

    y= 170

    Finally, we determine the value of x:

    x= 278 – 170

    x= 108

    Prove:

    3.25*108 + 5*170= 1,201

    170 + 108= 278

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