Problema Solution
A17 foot piece of rope is cut into 2 pieces so that the longer piece is 5 feet longer than twice the shorter piece. Find the length of both pieces
Answer provided by our tutors
First, let x=shorter piece and 2x+5=longer piece.
Since the shorter piece plus the longer piece is equal to 17, the equation for the problem is x+2x+5=17.
By solving this equation we get:
x+2x+5=17;
3x+5=17;
3x=17-5;
3x=12;
x=4 and 2x+5=13.
The lengths of the rope are 4 and 13 feet.