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Vlad [161]
2 years ago
12

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

ne-half the length of the bottom section. The total length of the rocket is 312ft. Find the length of the top section.
Mathematics
1 answer:
Ahat [919]2 years ago
4 0

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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