HELP with MATH SAT PROBLEM!

<p>Hey guys.. I can't seem to solve this problem</p>

<p>It's a grid in:</p>

<p>The average mean of the test scores of a class of p students is 70.
The average of the test score of a class of n students is 92.
When the scores of both classes are combined, the average score is an 86.</p>

<p>What is the value of p/n ?</p>

<p>[(p<em>70)+(n</em>92)]/(n+p)=86</p>

<p>Yea I got that lol</p>

<p>But how do you get p/n</p>

<p>(sum of P scores)/(P # of students) = 70</p>

<p>Thus 70 P = sum of P scores</p>

<p>(sum of N scores)/(N # of students) = 92</p>

<p>Thus 92 N = sum of N scores</p>

<p>(sum of both P + N scores)/(P+N)=86</p>

<p>Substituting in you get</p>

<p>(70P + 92 N)/(P+N) = 86</p>

<p>Multiply both sides</p>

<p>70P + 92N = 86 P + 86 N</p>

<p>6N = 16P</p>

<p>Divide by 16</p>

<p>6N/16 = P</p>

<p>Divide by N</p>

<p>6/16 = P/N</p>

<p>wrong wrong wrong. well actually you just forgot one thing. anyways...
there is an easier way to do this
70p+92n=86(n+p)
8p=3n
p/n=3/8</p>

<p>Jman was just trying to explain how to arrive at the equation 70p + 92n = 86n + 86p.</p>