A number multiplied by 6 and divided by 5 give four more than a number?

Discussion in 'Calculator Requests' started by math_celebrity, Aug 9, 2018.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    A number multiplied by 6 and divided by 5 give four more than a number?

    A number is represented by an arbitrary variable, let's call it x.

    Multiply by 6:
    6x

    Divide by 5
    6x/5

    The word "gives" means equals, so we set this equal to 4 more than a number, which is x + 4.
    6x/5 = x + 4

    Now, multiply each side of the equation by 5, to eliminate the fraction on the left hand side:
    6x(5)/5 = 5(x + 4)

    The 5's cancel on the left side, giving us:
    6x = 5x + 20

    Subtract 5x from each side
    x = 20

    Check our work from our original equation:
    6x/5 = x + 4

    6(20)/5 ? 20 + 4
    120/5 ?24
    24 = 24 <-- Yes, we verified our answer
     

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