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A jar contained some blue, green and red marbles. At first, there were 1 1/2 times as many green marbles as blue marbles. For every 3 red marbles, there were 2 green marbles. 10 blue marbles were then added. As a result, 3/8 of the marbles in the jar were blue. How many red marbles were there at first?

 Sep 14, 2021
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B==Blue, G==Green,  R==Red

 

G / B ==1.5 / 1, 

 

R / G==3 / 2,

 

[B + 10] ==3/8[G + B + R + 10], solve for B, G, R

 

B==8,  G==12,  R==18 - original number of marbles in the Jar.

 Sep 14, 2021

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