6810 bottles produced last month (of all three kinds) 1/3 of the 6810 were orange = 2270 are the oranges so 6810-2270 = 4540 (both limes and apples) apples = 3 * limes apples count is N limes count is n N=3n N+n=4540 3n+n=4540 4n=4540 n=1135 (limes) N= 3n = 3405 (apples)