Problema Solution

A 48-inch board is to be cut into three pieces so that the second piece is 3 times as long as thr first piece and the third piece is 4 times long as the first piece. If x represents the length of the first piece, find the length of all three pieces

Answer provided by our tutors

x = the length of the first piece


the second piece is 3 times as long as the first piece: 3x


the third piece is 4 times long as the first piece: 4x


a 48-inch board is to be cut into three pieces


x + 3x + 4x = 48


by solving we find


x = 6 in


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the first piece is 6 inches long.

the second piece is 3*6 = 18 inches long.

the third piece is 4*6 = 24 inches long.