A 48​-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece.

Question

what is the length of all three pieces

Answer 1

48=f+s+t

s=2f

t=5f

f+2f+5f = 48

8f =48

f =48/8 = 6 inches for first piece

s =2(6) = 12 inches for second piece

t =5(6) = 30 inches for third piece

6+12+30=48 inches for all 3 pieces