Question #ce0a0

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A08
Jun 4, 2016

(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.

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