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Math Help - Solving by Substitution Story Problem help

  1. #1
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    Solving by Substitution Story Problem help

    An airplane has a total of 152 seats. The number of coach-class seats is 5 more than six times the number of first-class seats. How many of each type of seat are there on the plane?

    After hours of algebra homework, my brain seems fried! This is suppose to be solved using substition. Can anybody help me with this? Once I see how, Im sure I'll say duuhhhh.

    THank You in advance!!
    Todd
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  2. #2
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    Quote Originally Posted by Firefightinfool View Post
    An airplane has a total of 152 seats. The number of coach-class seats is 5 more than six times the number of first-class seats. How many of each type of seat are there on the plane?

    After hours of algebra homework, my brain seems fried! This is suppose to be solved using substition. Can anybody help me with this? Once I see how, Im sure I'll say duuhhhh.

    THank You in advance!!
    Todd
    Let x denote the number of first-class-seats and y the number of the coach-class-seats. Then you know:

    x + y = 152 and y = 6x+5

    Substitute y by the RHS of the second equation:

    x + 6x+5=152~\implies~7x=147~\implies~x=21
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  3. #3
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    Quote Originally Posted by Firefightinfool View Post
    An airplane has a total of 152 seats. The number of coach-class seats is 5 more than six times the number of first-class seats. How many of each type of seat are there on the plane?

    After hours of algebra homework, my brain seems fried! This is suppose to be solved using substition. Can anybody help me with this? Once I see how, Im sure I'll say duuhhhh.

    THank You in advance!!
    Todd
    Hi Firefightinfool,

    And using the non-substitution method...

    Let x = number of 1st class seats

    Let 6x + 5 = number of coach class seats

    x + 6x + 5 = 152

    Solve for x to get the number of 1st class seats.

    Solve for 6x + 5 to get the number of coach class seats.
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