in a collection of nuts and bolts, the mean weight of nuts is 3 grms and the mean weight of bolt is 8 grms. If the combined mean is 4 grms.find the proportion o

Question

find the proportion of nuts in the collection.

Answer 1

 

 N is the number o nuts and b is the number of bolts.

 

The total weight of the nuts is 3n

 

The total weight of the bolts is 8b

 

The grand totat WEIGHT  is 4(n+b) = 4n + 4b

 

3n + 8b = 4n + 4b

 

0 = n - 4b

 

4b = n

 

So 1 nut weighs 4 times as much as 1 bolt