If three times a number added to 8 is divided by the number plus 7, the result is four thirds. Find the number.​

Question

If three times a number added to 8 is divided by the number plus 7, the result is four thirds. Find the number.​

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Tryphena 4 years 2021-07-20T20:07:33+00:00 1 Answers 49 views 0

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  1. diemthu
    0
    2021-07-20T20:08:43+00:00
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    9514 1404 393

    Answer:

      4/5

    Step-by-step explanation:

    The wording is ambiguous, as it often is when math expressions are described in English. We assume you intend …

      \dfrac{3n+8}{n+7}=\dfrac{4}{3}\\\\3(3n+8)=4(n+7)\qquad\text{multiply by $3(n+7)$}\\\\9n+24=4n+28\qquad\text{eliminate parentheses}\\\\5n=4\qquad\text{subtract $4n+24$}\\\\\boxed{n=\dfrac{4}{5}}\qquad\text{divide by 5}

    The number is 4/5.

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