In the final math test of the first semester of the sixth grade, there are 45 students in Class A, with an average of 80.25 points; 50 students in Class B, with an average of 82.34 points. What is the average score of the two classes?
六年级上学期的期末数学考试，甲班45人，平均80.25分；乙班50人，平均82.34分．两个班的平均成绩是多少分？
<gadget id="calculator">80.25 * 45</gadget>
<output>3_611.25</output>

<gadget id="calculator">82.34 * 50</gadget>
<output>4_117</output>

<gadget id="calculator">3_611.25 + 4_117</gadget>
<output>7_728.25</output>

<gadget id="calculator">45 + 50</gadget>
<output>95</output>

<gadget id="calculator">7_728.25 / 95</gadget>
<output>81.35</output>

<result>81.35</result>