math homework

Question

A carpenter uses 9 and one half9
1
2 ft of cedar for every 12 and one third12
1
3 ft of redwood for a construction project. If the carpenter uses 4 and three fourths4
3
4 ft of cedar, how much redwood does sheshe need? Use pencil and paper. Is there more than one way to find the amount of redwood? Explain.

Answer 1

(19/2)/(37/3) = (19/4)/r

 

Cross multiply!

 

19r/2 = 703/12

19r = 703/6

r = 37/6 = 6 1/6

 

Yes, you can also realize that 4 3/4 is half of 9 1/2, so you need half the amount of redwood.