Question

A carpenter uses 9 1/2 ft of cedar for every 5 2/3 ft of redwood.a) If the carpenter uses 4 3/4 of cedar, how much redwood does he need?

Answer 1

`9(1)/(2)=(19)/(2) ft -cedar \\ \\ 5(2)/(3)=(17)/(3)ft-redwood \\ \\ 4(3)/(4)=(19)/(4)ft-cedar \\ \\\\ (19)/(2)c...........(17)/(3)r \\ \\ (19)/(4)..............x \\ \\ x=( (19)/(4)*(17)/(3))/((19)/(2))= (19)/(4)*(17)/(3)*(2)/(19) \\ \\\boxed{ x= (17)/(6)ft \ -redwood}`