If a 35 ft rope is cut into two sections with one section 6 times as long as the other section, how long is the shorter piece?

Answer: 5 feetStep-by-step explanation:Given: The total length of the rope = 35 feetLet the length of the shorter section be x, then the longer section would be 6x.According to the question, we have[tex]x+6x=35\\\\\Rightarrow7x=35\\\\\Rightarrow x=\frac{35}{7}\\\\\Rightarrow x=5\ feet[/tex]Also, [tex]6x= 6(5)=30\ feet[/tex] Hence, the  length of the shorter section = 5 feet

x is the first section soit the second is 6xand x + 6x = 7x = 35 ft => x = 5 ft