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Math Help - algebraic problem

  1. #1
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    Question algebraic problem

    a museum gives a discount to school groups on Mondays.it charges a group rate that includes a fee of $6.00( which includes the teacher).they also charge $0.50 for each child or additional adult. the cost for ms.kapales's third grade class to go to the museum last monday with two parents accompanying them was $19.50.how many children are in her class?

    a) 25 b) 26 c)20 d)27
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by BeBeMala View Post
    a museum gives a discount to school groups on Mondays.it charges a group rate that includes a fee of $6.00( which includes the teacher).they also charge $0.50 for each child or additional adult. the cost for ms.kapales's third grade class to go to the museum last monday with two parents accompanying them was $19.50.how many children are in her class?

    a) 25 b) 26 c)20 d)27
    what we are looking for is the number of children (x)

    We know the base cost is $6.00

    2 extra adults @ $.5 is $1.00.

    The cost of the children

    x @ $.5 is .5x

    so if we add all of these up it is the total cost and we know that the total cost is $19.50 so we get

    6+1+.5x=19.5 \iff 7+.5x=19.5 \iff .5x=12.5 \iff x=25

    So there were 25 children
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