Problema Solution
A 10 foot board is to be cut into two pieces so that the length of the longer piece is 4 times the length of the shorter. Find the length of each piece.
Answer provided by our tutors
let
l = the length of the longer piece
s = the length of the shorter piece
10 foot board is to be cut into two pieces
l + s = 10
the longer piece is 4 times the length of the shorter
l = 4s
solving the system of equations
l + s = 10
l = 4s
we find
l = 8 ft
s = 2 ft
click here to see the step by step solution of the system of equations
the lengths in the pieces are 8 ft and 2 ft.