Set S consists of integers {6, 7, 10, 12, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 40%. What is the value of integer n? Choose the correct choice from the following answers:
A) 26  B) 30  C) 34  D) 38  E) 42
The average of the numbers in set S is 10.   If we increase the mean by 40%, the new mean is 14.   Thus, on average, 5 numbers increase by 4.   Therefore n = 14+20= 
<gadget id="calculator">14+20</gadget>
<output>34</output>
34   The answer is 34.
<result>C</result>
Set S consists of integers {6, 7, 10, 12, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 40%. What is the value of integer n?