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A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red marble is 1 in 5. Yasmine returns the marble to the bag and adds five more red marbles to the bag. The probability that she takes one red marble at random is now 1 in 3. How many red marbles were originally in the bag?

Respuesta :

eatingdeadcats
If there are x red marbles initially then 1/5 is a probability in it's lowest form cancelled down from: 
1/5 = x/5x 
so there are 5x total marbles, x red and 4x blue. 
Add 5 new red and the new probability is: 
(x+5)/(5x+5) = 1/3 
3x+15 = 5x+5 
2x = 10 

originally there were: 

x = 5 red 
4x = 20 blue 
marbles. 

*************** 
there are now: 

x+5 = 10 red 
4x = 20 blue 
marbles.

hope it helps

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