Silo 1, 2, and 3, when full, each hold the same amount of grain. Currently Silo 1 si 17/18 full, Silo 2 is 2/9 full, and Silo 3 os 1/6 full. Grain will be

Question

transferred between the silos so that each of the 3 silos contains the same amount of grain. After the transfer, each of the 3 silos will be what fraction full?

 

A. 1/18

B. 2/9

C. 4/9

D. 2/3

E. 5/6

 

Show your work please

 

Answer 1

before the transfer the silos contain the following amount of grain:

t = 17/18 + 2/9 + 1/6

 

1/3t amount in each silo                   after the transfer they each contain the same amount:

t = 17 + 2(2) + 1(3)               to add these fraction we need a common denominator which is 18

     ---    -----     ----

     18     9(2)    6(3)

t = (17 + 4 + 3)/18

t = 24/18

so each silo has

1/3(24/18) = 8/18 = 4/9