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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?

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mariamikayla
[tex]9\frac{1}{2}=\frac{19}{2} ft -cedar \\ \\ 5\frac{2}{3}=\frac{17}{3}ft-redwood \\ \\ 4\frac{3}{4}=\frac{19}{4}ft-cedar \\ \\\\ \frac{19}{2}c...........\frac{17}{3}r \\ \\ \frac{19}{4}..............x \\ \\ x=\frac{ \frac{19}{4}*\frac{17}{3}}{\frac{19}{2}}= \frac{19}{4}*\frac{17}{3}*\frac{2}{19} \\ \\\boxed{ x= \frac{17}{6}ft \ -redwood}[/tex]

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