A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 12 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 12 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?  Pick one:  A) 443  B) 450  C) 460  D) 468  E) 475
Total number of installments = 52   Payment per installment for the first 12 installments = 410   Payment per installment for the remaining 32 installments = 410+65= 
<gadget id="calculator">410+65</gadget>
<output>475</output>
475   Average= (12*410 + 40*475)/52= 
<gadget id="calculator">(12*410 + 40*475)/52</gadget>
<output>460</output>
460   Answer 460
<result>C</result>
A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 12 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 12 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?