The sum of three integers A, B and C is 360. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C? Choose the most appropriate option:
A) 211
B) 212
C) 213
D) 214
E) 210
A is one third of the sum of B and C..   or A=1/3(B+C)...   But A+B+C=360   so 1/3(B+C)+B+C=360   4(B+C)/3= 360   B+C =360*3/4= 
<gadget id="calculator">360*3/4</gadget>
<output>270</output>
270   A=360-270= 
<gadget id="calculator">360-270</gadget>
<output>90</output>
90   2)B is one fifth of the sum of A and C   or B=1/5(A+C)...   But A+B+C=360   so 1/5(A+C)+A+C=360   A+C=360*5/6= 
<gadget id="calculator">360*5/6</gadget>
<output>300</output>
300   but A=90, so C=300-90= 
<gadget id="calculator">300-90</gadget>
<output>210</output>
210   Answer :210
<result>E</result>
The sum of three integers A, B and C is 360. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?