Question

A carpenter used 9 1/2 ft of cedar for every 7 2/3 ft of redwood for a construction project. If the carpenter uses 4 3/4 ft of cedar, how much redwood does he need?

Answer 1

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:

`x = (\frac{4+(3)/(4)} {9+(1)/(2)})*(7+(2)/(3))`

Rewriting the expression we have:

`x = (\frac{(19)/(4)} {(19)/(2)})*((23)/(3))`

`x = ((2)/(4))*((23)/(3))`

`x = (\frac {1}{2})*((23)/(3))`

`x = (23)/(6)`

Answer:

The carpenter needs the following amount of redwood:

`x = (23)/(6) feet`