A rocket is divided into three sections. The top section is one-eighth the length of the bottom section. The middle section is one-half the

Question

A rocket is divided into three sections. The top section is one-eighth the length of the bottom section. The middle section is one-half the length of the bottom section. The total length of the rocket is 312ft. Find the length of the top section.

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Rylee 1 week 2021-11-26T03:33:25+00:00 1 Answer 0

Answers ( )

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    2021-11-26T03:35:21+00:00

    Answer:

    312 ft

    Step-by-step explanation:

    The steps are as follows :

    1. The problem can be described as an equation

    x +  \frac{1}{2}x +  \frac{1}{8}x = 312

    2. Convert all values on the left side into their equivalent fractional values

     \frac{8}{8}x  +  \frac{4}{8}x +  \frac{1}{8} x = 312

    3. Combine like terms

     \frac{13}{8} x = 312

    4. Multiply both sides by the reciprocal of 13/8 to isolate variable X

    concept \:  \:  \: ({ \frac{8}{13}  \times  \frac{13}{8} }) = 1

     \frac{8}{13} \times  \frac{13}{8}x  = 312 \: \times  \frac{8}{13}

    5. Simplify

    x = 192

    6. Check answer by using it in the original equation

    (192) +  \frac{1}{2}(192) +  \frac{1}{8} (192) = 312

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