Question

Question #ce0a0

Answer 1

(a) 12

Explanation:

Suppose number of bags with the required number of each jelly beans`=x`
Number of Green, orange and yellow Jelly beans`=50` each

Number of green jelly beans to be put in each bag`=2`
`:.`Total number of bags which can be filled with green beans`=2x`
Similarly total number of bags filled with orange beans`=3x`
And total number of bags filled with yellow beans`=4x`
Number of green jelly beans `2x=50`
or `x=50/2=25`
Similarly, for orange jelly beans `3x=50`
or `x=50/3=16 2/3`, we ignore the fraction as this bag does not contain `3` orange beans

Out of `25` bags we are able to fill only `16` bags with `3` orange beans.

And for yellow jelly beans `4x=50`
or `x=50/4=25/2=12 1/2`, we ignore the fraction as this bag does not contain `4` yellow beans

Therefore we can fill only `12` bags with the required number of each color of jelly beans.