document.write( "Question 402971: the average of the test scores of a class of x students is 74 and the average of the test scores of a class of y students is 88. When the scores of both classes are combined the average is 76. What is the value of x/y? \n" ); document.write( "

Algebra.Com's Answer #285014 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
The sum of the x students test scores is $\"74x\"$ since dividing this by 'x' students gives you an average of 74. Likewise, the sum of the y students test scores is $\"88y\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So because the \"combined the average is 76\", we know that $\"%2874x%2B88y%29%2F%28x%2By%29=76\"$ (ie add the sums of both groups and divide that new bigger sum by the total number of students x+y)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I'll let you take it from here. Since there is an explicit relationship between x and y (shown in the equation above), you can solve for either variable and substitute it into $\"x%2Fy\"$ and reduce it into some constant number. Note: either variable you solve for will give you the same answer.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let me know if you still need help. \n" ); document.write( "

\n" );