Question #ce0a0

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$= 2$
$\therefore$Total number of bags which can be filled with green beans$= 2 x$
Similarly total number of bags filled with orange beans$= 3 x$
And total number of bags filled with yellow beans$= 4 x$
Number of green jelly beans $2 x = 50$
or $x = \frac{50}{2} = 25$
Similarly, for orange jelly beans $3 x = 50$
or $x = \frac{50}{3} = 16 \frac{2}{3}$, 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 $4 x = 50$
or $x = \frac{50}{4} = \frac{25}{2} = 12 \frac{1}{2}$, 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.