The probability of selecting a green marble at random form a jar that contains only green, white and yellow marbles is 1/4. The probability of selecting a white marble at random form the same jar is 1/3. If this jar contains 10 yellow marbles. What is the total number of marbles in the jar?
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Step-by-step explanation:
we are given that
G/(G+Y+W)=1/4
G+Y+W=4G or 3G= Y+ W this is equation one
W/(G+Y+W)=1/3
3W=G+Y+W or 2W= Y+G this is equation two
from equation one
3G= Y+W
We know that we have 10 yellow marbles
W=3G-10 equation three
Putting value of W in equation two
2(3G-10)=10+G , 6G-20=10+G
5G=30
G=6
Putting value of G in equation three
W= 8
hence, total marbles =6+8+10 =24
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