the average ( arithmetic mean ) of all scores on a certain algebra test was 90. if the average of the 8 male students ’ grades was 86, and the average of the female students ’ grades was 92, how many female students took the test?  Choose the correct choice from the following options
A) 8  B) 9  C) 10  D) 11  E) 16
<gadget id="calculator">90 * 8</gadget>
<output>720</output>

<gadget id="calculator">86 * 8</gadget>
<output>688</output>

<gadget id="calculator">720 - 688</gadget>
<output>32</output>

<gadget id="calculator">92 - 90</gadget>
<output>2</output>

<gadget id="calculator">32 / 2</gadget>
<output>16</output>

<result>E</result>
the average ( arithmetic mean ) of all scores on a certain algebra test was 90. if the average of the 8 male students ’ grades was 86, and the average of the female students ’ grades was 92, how many female students took the test?
divide(subtract(multiply(90, 8), multiply(86, 8)), subtract(92, 90))
"total marks of male = m total marks of female = f number of males = 8 number of females = f given : ( m + f ) / ( 8 + f ) = 90 - - - - - - - - - - - - - 1 also given , m / 8 = 86 thus m = 688 - - - - - - - - 2 also , f / f = 92 thus f = 92 f - - - - - - - - - 3 put 2 and 3 in 1 : we get ( 688 + 92 f ) / ( 8 + f ) = 90 solving this we get f = 16 ans : e"