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More ways to get Braingle...

No-Fat Frankfurters, Partition Deux

Math brain teasers require computations to solve.

 

Puzzle ID:#30519
Fun:*** (2.72)
Difficulty:*** (2.85)
Category:Math
Submitted By:norcekrius****
Corrected By:lessthanjake789

 

 

 



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?

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Hint

The old phonograph speeds were typically 16, 33-1/3, 45, and 78 RPM.
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