Mathematics

Question

Dwayne has $80 to spend on video games. Used video games cost $10 each, and new video games cost $20 each. What equation in standard form determines the number x of used video games and the number y of new video games he can buy?

2 Answer

  • Answer:

    10x+20y=80

    Step-by-step explanation:

    Firstly, here is the formula for standard form, in Algebra.

    ax+by=c

    a and b would be the used and new costs of the video games, while x and y would be the number of video games bought, and then c wouldn’t be the number of games bought, instead it would be the cost, $80, in this case.


  • Answer:


    [tex]10x + 20y = 80[/tex]


    Step-by-step explanation:

    Given :

    Dwayne has $80 to spend on video games.

    Used video games cost $10 each, and new video games cost $20 each.

    To Find :  Standard form determines the number x of used video games and the number y of new video games he can buy.

    Solution :

    We are given that :

    x denotes the number of used video games .

    y denotes the no. of new video games.

    The standard form of equation is :


    [tex]Ax + By = C[/tex] ---(A)


    Now cost of 1 used video game is $10

    So, cost of x used video games is $10x

    Now cost of 1 new video game is $20

    So, cost of y new video games is $20y

    Since we are given that Dwayne has $80 to spend on video games.


    ⇒[tex]10x + 20y = 80[/tex]


    Comparing this with standard form(A) we can see that it is in the standard form of equation .

    Hence , equation in standard form  determines the number x of used video games and the number y of new video games he can buy :


    [tex]10x + 20y = 80[/tex]


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