For this case we can solve the problem by making the following rule of three:
9 1/2 ft of cedar --------------> 7 2/3 ft of redwood
4 3/4 ft of cedar --------------> x
From here, we clear the value of x.
We have then:
[tex] x = (\frac{4+\frac{3}{4}} {9+\frac{1}{2}})*(7+\frac{2}{3}) [/tex]
Rewriting the expression we have:
[tex] x = (\frac{\frac{19}{4}} {\frac{19}{2}})*(\frac{23}{3}) [/tex]
[tex] x = (\frac{2}{4})*(\frac{23}{3}) [/tex]
[tex] x = (\frac {1}{2})*(\frac{23}{3}) [/tex]
[tex] x = \frac{23}{6} [/tex]
Answer:
The carpenter needs the following amount of redwood:
[tex] x = \frac{23}{6} feet [/tex]
