document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #104399 by stanbon(75887)![]() ![]() ![]() 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? \n" ); document.write( "---------------- \n" ); document.write( "Let # of black be \"x\" ; Then # of red = \"x+12\" \n" ); document.write( "Total number of sticks is 2x+12 \n" ); document.write( "---------------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "# red/total # = 0.60 \n" ); document.write( "(x+12)/(2x+12) = 0.6 \n" ); document.write( "x+12 = 0.6(2x+12) \n" ); document.write( "Multiply both sides by 10 to get: \n" ); document.write( "10x+120 = 6(2x+12) \n" ); document.write( "10x+120 = 12x+72 \n" ); document.write( "2x = 48 \n" ); document.write( "x = 24 (# of black sticks) \n" ); document.write( "x+12 = 36 (# of red sticks) \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |