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?

Answer to brain teaser #12, brain teaser#13

Answer to brain teaser #12
He looked the man right in the eye and said "get in."

Brain teaser #13
Kurt & Rod were hanging around the window at school munching the last of their Rnkfurers hoard. They spotted their neighbor lounging in the enclosed courtyard, looking hungry.
"Patty O'Furniture! Good to see you! Want a Rnkfurter?"
"A what?"
Kurt handed her the last he had. She bit in, and her face lit up like a newly-coined metaphor.
"Where can I get more of these?"
"Rod and I were about to go order some more. But there's a catch: we always order so one of us gets the quantity that the other has for a percentage." Patty's blank look bade him explain. "In our first batch, we got a total of 25 -- 20 for me, and 5 for Rod. I had 20, and he had 20% of the total."
"And you think you can do that for three people? You get my percentage, and I get Rod's? I don't think we can do it."
Rod had been thinking about it, and rattled off three numbers to her.
"Those aren't right. The last one isn't the right percentage; there's an added fraction."
"So? My mom says they're the same on her old phonograph speeds."
Patty looked at Kurt, each waiting for the other to give an opinion. Finally, she gestured at the empty wrapper in his hand.
"I'll round off a little for a week's supply of these. Let's go!"

Since Rnkfurters come in cases of 25, 50, and 100, they had to leave 10 with the storekeeper to make the numbers work, but they got their munchies.

How many did each student get this time?