A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 22 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 22 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year? Choose the correct choice from the following choices
A) 447.5  B) 450  C) 465  D) 468  E) 475
Total number of installments = 52   Payment per installment for the first 22 installments = 410   Payment per installment for the remaining 30 installments = 410+65= 
<gadget id="calculator">410+65</gadget>
<output>475</output>
475   447.5verage= (22*410 + 30*475)/52= 
<gadget id="calculator">(22*410 + 30*475)/52</gadget>
<output>895/2 = around 447.5</output>
447.50   447.5nswer 447.5
<result>A</result>
A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 22 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 22 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?