## No-Fat Frankfurters, A Last HopeMath brain teasers require computations to solve.
Patty O'Furniture, Kurt, & Rod were walking downtown when they spotted a forlorn friend staring at a small object in her hand. She was propped against a wall, one foot off the ground.
"I know her," Patty said. "She looks like she could use some help. I think she broke a heel off her shoe." Patty was right; the small object was a 3-inch heel. "This is my sole sister," the girl groaned, "with the obvious name." Kurt looked blank. After a few seconds, Rod's face lit up. "Pleased to meet you, Eileen," he smirked. "I wish it could be under better circumstances. You wouldn't have any superglue on you? Maybe an extra pair of size-5 sneakers?" They searched their pockets -- no spare shoes, no modern adhesives. Kurt fell back on his usual solution for all depressing problems: a Rnkfurer. "Is that a spare heel?" Eileen asked. "No, it's the world's best snack. Non-fat, low-calorie, high-fiber, made of recycled materials, fortified with five vitamins, and contains 100% of your recommended daily allowance of Public Broadcasting." "Right," she grumbled, "and it tastes like recycled history essays?" The three grinned broadly at her. "Try one," Kurt said, proffering one of the shrink-wrapped torpedoes. Eileen shifted some of her weight back to the toe of the damaged right shoe and tentatively accepted the Rnkfurer. She unwrapped it, took one bite, and saw her ecstatic grin reflected on the faces of the other three. "Where can I get more of these?" "We were about to go order more tomorrow. But there's a catch: we always order so one of us gets the quantity that the other has for a percentage." Eileen got it right away. "So we each get 25 of them, and have 25% of the total." Rod grinned. "That's cheating. We use different numbers." "Oh, all right." She thought for a few seconds. "So you can do it a few ways for two people, round off for three, but we couldn't do it for four." "Really?" Rod wasn't as quick with the enlarged problem. "I'm not surprised, but that means we'll just have to buy in pairs." "Or change the rules a little," Eileen added. "How so?" Kurt was ready to do almost anything that would get a Rnkfurer refill. "Well, how about if Kurt buys twice as many as Rod's percentage, Patty gets twice as many as Kurt's percentage ..." Kurt looked hopeful, Patty was expectant, and Rod's analytical gears were grinding. "It's a big order, but we could do it," he finally declared. The grocer now orders Rnkfurers only in cases 100, but that didn't disturb anything. How many did each student get this time? ## What Next?
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