The grade point average of one third of the classroom is 60; the grade point average of the rest is 66. What is the grade point average of the whole class? Choose the most appropriate option.
A) 55 B) 56 C) 64 D) 65 E) 66
Let n=total students in class   total points for 1/3 class=60n/3=20n   total points for 2/3 class60 /3= 
<gadget id="calculator">60 /3</gadget>
<output>20</output>
20n   total points for 2/3 class=66*2n/3=44n   total points for whole class66*2 /3= 
<gadget id="calculator">66*2 /3</gadget>
<output>44</output>
44n   total points for whole class=20n+44n=64n   64n total class points/n total students20 +44= 
<gadget id="calculator">20 +44</gadget>
<output>64</output>
64n   64n total class points/n total students=64 grade point average for total class   Answer : 64
<result>C</result>
The grade point average of one third of the classroom is 60; the grade point average of the rest is 66. What is the grade point average of the whole class?