Problema Solution

If a 25 ft rope is cut into two sections with one section 4 times as long as the other section, how long is the shorter piece?

Answer provided by our tutors

let 'x' and 'y' represent the lengths of each section, and x > y


25 ft rope is cut into two sections:


x + y = 25


with one section 4 times as long as the other section:


x = 4y


by solving the system of equations:


x + y = 25


x = 4y


we find:


x = 20 ft


y = 5 ft


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the shorter piece is 5 feet long.