dimmak wrote:
A convenience store stocks soda in 12-ounce and 24-ounce bottles. If the average capacity of all the bottles in the store is 22 ounces, then what fraction of the bottles in the store are 12 ounces?
A) 1/3
B) 1/6
C) 2/3
D) 5/6
E) 2/5
Let
The number of 12 ounce bottles = X and
The number of 24 ounce bottles = Y
Then, it is given in question stem that average of all the bottles are 22 ounces
so, (12*X+24*Y)/(X+Y)= 22
Solving this we get-> 12X+24Y=22X+22Y
=> 2Y=10X
=>Y/X=5
Now, we have to find what fraction of the bottles are 12 ounces=> X/(X+Y)=>1/(1+Y/X)
=> 1/(1+5)=>1/6. Hence correct option is B.