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?

Question

asked Feb 25, 2019 190k views

1 Answer

Dmitreyg · Answer 1 · 2019-03-02T02:34:44+0000

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