Answer:
312 ft
Step-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]
