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.

Answer: 312 ftStep-by-step explanation:The steps are as follows :1. The problem can be described as an equation[tex]x + \frac{1}{2}x + \frac{1}{8}x = 312[/tex]2. Convert all values on the left side into their equivalent fractional values [tex] \frac{8}{8}x + \frac{4}{8}x + \frac{1}{8} x = 312[/tex]3. Combine like terms[tex] \frac{13}{8} x = 312[/tex]4. Multiply both sides by the reciprocal of 13/8 to isolate variable X[tex]concept \: \: \: ({ \frac{8}{13} \times \frac{13}{8} }) = 1[/tex][tex] \frac{8}{13} \times \frac{13}{8}x = 312 \: \times \frac{8}{13} [/tex]5. Simplify [tex]x = 192[/tex]6. Check answer by using it in the original equation[tex](192) + \frac{1}{2}(192) + \frac{1}{8} (192) = 312[/tex]