Calculating p/n: Solving for the Ratio of Two Averages in a Mental Lapse

[courtrigrad]

Hello all

I am having a little mental lapse.

If the average score of p students is 70 and the average score of n students is 92, and the average of the scores of p and n is 86, what is p/n?

(70p + 92n)/ ( p + n ) = 86

70p + 92n = 86(p+n)

70p + 92n = 86p +86n
92n = 16p + 86n
6n = 16p
p = 3/8n
n= 8/3p

Where do I go from here (sorry was awake for whole night)

Thanks

 

[BobG]

Unless you're given either n or p, you're done. You have the ratio between n and p.

If n is 24 students, then p is 9 students; if n is 48 students, then p is 18 students, etc.

 

[dextercioby]

You're 'home'. If
$$p=\frac{3}{8}n$$
,then
$$\frac{p}{n}=\frac{3}{8}$$

,okay??

Daniel.

 

[courtrigrad]

lol

thanks dextercioby

guess it was because i stayed up