if 45 % of a class averages 100 % on a test, 50 % of the class averages 78 % on the test, and the remainder of the class averages 65 % on the test, what is the overall class average? ( round final answer to the nearest percent ). Select the correct option
A) 86 %	B) 87 %	C) 88 %	D) 89 %	E) 90 %
<gadget id="calculator">45 * 100</gadget>
<output>4_500</output>

<gadget id="calculator">50 * 78</gadget>
<output>3_900</output>

<gadget id="calculator">4_500 + 3_900</gadget>
<output>8_400</output>

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

<gadget id="calculator">100 - 95</gadget>
<output>5</output>

<gadget id="calculator">5 * 65</gadget>
<output>325</output>

<gadget id="calculator">8_400 + 325</gadget>
<output>8_725</output>

<gadget id="calculator">8_725 / 100</gadget>
<output>349/4 = around 87.25</output>

<result>B</result>
if 45 % of a class averages 100 % on a test, 50 % of the class averages 78 % on the test, and the remainder of the class averages 65 % on the test, what is the overall class average? ( round final answer to the nearest percent ).
divide(add(add(multiply(45, 100), multiply(50, 78)), multiply(subtract(const_100, add(45, 50)), 65)), const_100)
"this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 100 + 0.50 x 78 + 0.05 x 63 = 87.15 the class average ( rounded ) is 87 % final answer b ) 87 %"