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algebra

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The Big Screamer Coaster carries 92 people altogether. Some of its cars carry 4 passengers, and the rest carry 6 passengers. There are three less 6-passenger cars than 4-passenger cars. How many 4-passenger cars are there?

  • algebra - ,

    first, represent them as variables:
    let x = four-passenger cars
    let y = six-passenger cars
    set up the equations [since two unknowns, you must have two equations]:
    (1) 4x+6y=92 ==> since 92 people altogether
    (2) y=x-3 ==> since three less six-passenger cars

    then you can substitute the equation (2) to (1):
    4x+6(x-3)=92
    4x+6x-18=92
    10x=110
    x=11 four-passenger cars

    i hope i was able to help.. =)

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