answer to brain teaser#13, brain teaser#14

Answer to brain teaser #13
27 for Kurt, 30 for Patty, and 33 for Rod.
That's 30% for Kurt and 33-1/3% for Patty.

Method:

Let K, P, and R stand for the quantity each of them had. Let T be the total, K+P+R.
Now, since Kurt's percentage equals Patty's quantity, we get
100*K/T = P.
Similarly,
100*P/T = R plus a fraction. Now, look at the common factor, 100/T. Let's call this F, the factor relating one quantity to the next.
K*F = P and P*F = R (plus a fraction),
and K*F^2 = R (plus a fraction).
The clue about the phonograph leaves us looking for a triple with 33 Rnkfurters for Rod, with Patty getting 33-1/3% (one-third) of the total.
P = T/3
P = (K+P+33)/3 -- remember, R=33
Now, combine this with 100*K/T = P, and a bit of algebra gives us the required answer

Brain teaser#14
We are often dangerous
But to some we are fun
To others we are frightening
Causing them to run
We come together
Though we seem apart
You see me and you hear my brother
Who oft times makes little ones run to their mothers,
I am bright and my brother is loud
And it may seem that we come from a cloud, What are we?