The sum of three integers A, B and C is 300. 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 correct option.
A) 175
B) 180
C) 185
D) 190
E) 195
A is one third of the sum of B and C..   or A=1/3(B+C)...   But A+B+C=300   so 1/3(B+C)+B+C=300   4(B+C)/3= 300   B+C =300*3/4= 
<gadget id="calculator">300*3/4</gadget>
<output>225</output>
225   A=300-225= 
<gadget id="calculator">300-225</gadget>
<output>75</output>
75   2)B is one fifth of the sum of A and C   or B=1/5(A+C)...   But 175+B+C=300   so 1/5(175+C)+175+C=300   175+C=300*5/6= 
<gadget id="calculator">300*5/6</gadget>
<output>250</output>
250   but 175=75, so C=250-75= 
<gadget id="calculator">250-75</gadget>
<output>175</output>
175   175nswer : 175
<result>A</result>
The sum of three integers A, B and C is 300. 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?