Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Word Problem using Linear Equations of the form Ax+ By=C?

One month Bob rented 2 movies and 6 video games for a total of $40.00. The next month he rented 5 movies and 3 video games for a total of $25.00. Find the rental cost for each movie and each video game.

Rental cost for each movie: 

Rental cost for each video game:

2 Answers

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  • 1 month ago

    5m+3v=25

    2m+6v=40

    10m+6v=50

    8m=10>>m=1.25

    1.25*5=6.25

    25-6.25=18.75

    3v=18.75>>v=6.25

    5*1.25+3*6.25=25

    2*1.25+6*6.25=40

    m=1.25,  V=6.25

  • 1 month ago

    let x - cost of movies

     y - cost of video games

     3[2x + 6y = 40]

     6[5x + 3y = 25]

    ----------------------

     6x + 18y = 120

     -[30x + 18y = 150]

    --------------------------

    ..- 24x = - 30

     x = $1.25  cost of movies

    solving for y from eq1

    2x + 6y = 40

    2(1.25) + 6y = 40

    2.5 + 6y = 40

     6y = 40 - 2.5

     6y =37.5

     y = $6.25 cost of video game

    Rental cost for each movie: $1.25

    Rental cost for each video game: $6.25

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