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14 May, 00:33

One fifth of a number plus three times the number is equal to twice the number plus 42. What is the number? Practice Think: What equation can you write to solve the problem?

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  1. 14 May, 01:19
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    For this problem, we will assign the number a letter to represent it: X

    One fifth of x + 3 x's equals 42 + 2 x's

    Translate that to:

    1/5x + 3x = 42 + 2x

    Next, use algebra to solve this equation.

    Start by multiplying everything by 5 to make all the x values whole numbers:

    5x + 15x = 210 + 10x

    Next, add common factors of x:

    20x = 210 + 10x

    Then subtract 10 x's from each side to make only one factor with x:

    10x=210

    Finally, divide by ten to make only one x:

    X=21

    The number is 21
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