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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?

Verified Answer :

pepe11

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

JeanaShupp

Answer: 5 feet

Step-by-step explanation:

Given: The total length of the rope = 35 feet

Let the length of the shorter section be x, then the longer section would be 6x.

According to the question, we have

\(x+6x=35\\\\\Rightarrow7x=35\\\\\Rightarrow x=\frac{35}{7}\\\\\Rightarrow x=5\ feet\)

Also, \(6x= 6(5)=30\ feet\)

Hence, the  length of the shorter section = 5 feet

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