Homework Help

The average of a set of numbers A is 85 and the average of a set B is 64. If set A has...

timw996's profile pic

Posted via web

dislike 1 like

The average of a set of numbers A is 85 and the average of a set B is 64. If set A has 4 times as many elements as set B, what is the average value of all the elements in both the sets.

1 Answer | Add Yours

justaguide's profile pic

Posted (Answer #1)

dislike 0 like

Set A has 4 times as many elements as set B. The average value of the elements of set A is 85 and the average value of the elements of set B is 64.

Let N denote the number of elements in set B, the number of elements in set A is 4*N. The total number of elements in both the sets put together is 5*N.

The total value of the elements of set A is 340*N and the total value of the elements of set B is 64*N. This gives the required average as `(340*N + 64*N)/(5*N) = 80.8`

The required average is 80.8

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes