at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 15 of which were white and 15 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ?
"r + w + p = 120 s + l = 120 1 / 3 * 120 = 40 short - stemmed white = 15 short - stemmed pink = 15 = > short - stemmed red = 10 15 / p = 10 / r = > r = 2 r / 3 so total long stemmed = 80 and long stemmed red + long stemmed pink = 80 so long stemmed red / long stemmed = ? total white = 20 ( as no long stemmed white ) = > r + 2 r / 3 + 20 = 120 = > 5 r = 300 and r = 60 long stemmed r = 60 - 10 = 50 so long stemmed red / r = 50 / 80 = 62.5 % answer - c"
multiply(divide(divide(multiply(subtract(120, divide(120, const_3)), subtract(subtract(divide(120, const_3), 15), 15)), add(15, subtract(subtract(divide(120, const_3), 15), 15))), subtract(120, divide(120, const_3))), const_100)