SOLUTION: a candy jar has red and black licorice sticks. There are 12 more red licorice sticks than black. If jorge chooses one licorice stick, without looking, there is a 60% probability th

Question 143448: a candy jar has red and black licorice sticks. There are 12 more red licorice sticks than black. If jorge chooses one licorice stick, without looking, there is a 60% probability that it is red. How many red licorice sticks are in the candy jar?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a candy jar has red and black licorice sticks. There are 12 more red licorice sticks than black. If jorge chooses one licorice stick, without looking, there is a 60% probability that it is red. How many red licorice sticks are in the candy jar?
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Let # of black be "x" ; Then # of red = "x+12"
Total number of sticks is 2x+12
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EQUATION:
# red/total # = 0.60
(x+12)/(2x+12) = 0.6
x+12 = 0.6(2x+12)
Multiply both sides by 10 to get:
10x+120 = 6(2x+12)
10x+120 = 12x+72
2x = 48
x = 24 (# of black sticks)
x+12 = 36 (# of red sticks)
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Cheers,
Stan H.
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