document.write( "Question 1106037: The average age of consisting doctors and lawyers is 40 . If the doctors average age is 35 and the lawyers average age is 50 , find the ratio of the number of doctors to the number of lawyers
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Algebra.Com's Answer #720963 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "This is essentially a mixture problem; you are mixing doctors and lawyers and getting an average age of the whole group. \n" ); document.write( "Here is an easy way to solve mixture problems.... \n" ); document.write( "(1) The overall average age of 40 is \"twice as close\" to the average age of the doctors (35) as it is to the average age of the lawyers (50): \n" ); document.write( "That is, 50-40=10; 40-35=5. 5 is half of 10; so 40 is twice as close to 35 as it is to 50. \n" ); document.write( "(2) That \"twice as close\" means the number of doctors has to be twice the number of lawyers. \n" ); document.write( "So the ratio of the number of doctors to the number of lawyers is 2:1. \n" ); document.write( " |