Problema Solution

a 48-inch board is cut into two pieces. one piece is three times the length of the other. find the lengths of the two pieces

Answer provided by our tutors

let


x = the length of one piece

y = the length of the other piece


a 48-inch board is cut into two pieces


x + y = 48


one piece is three times the length of the other


x = 3y


by solving the system of equations


x + y = 48

x = 3y


we find


x = 36 in


y = 12 in


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the lengths of the two pieces are 36 in and 12 in.