Fair Prizes

Problem #102

Deadline to submit the solution: April 30th, 2003

 Adam is at his favorite booth at the State Fair. Here he can buy a token to throw a ball at the prizes. Each time he wins a prize he gets two more tokens. Q1. How many prizes did Adam win, if he initially bought 5 tokens and threw ball 17 times?

Solutions:

Kristen from Binghamton
Solution:
Q1: 6

I knew that he gets 5 throws with each token. So he had 12 extra throws and he gets 2 tokens with each prize so I divided 12 by 2
About me: I'm being home schooled at the moment due to misunderstandings between myself and the principal.
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Solution:

Each token gives Adam two throws(or two balls).To throw the ball 17 times he had bought five balls with five tokens,then he needed 12 more throws making a total of 17 throws.To get 12 more throws Adam would need to win six prizes.
About me: I am a homeschooler Grade six and I enjoy games which include computation challenge.I enjoy drawing comics and suprheroes.
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michael from usa
Solution:
Q1: 6 prizes

he bought 5 tokens, and threw the ball 17 times, and it costs 1 token to throw the ball. so 5 of the throws were because of the 5 tokens he bought, 17 throughs - 5 tokens that he bought = 12 tokens that he got from prizes and for every prize you get 2 tokens, so the 12 tokens from prizes divided by 2 for the prize tokens = 6 prizes
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Kenyatta from USA
Solution:
Q1: 6

I took the number of times that he threw the ball and subtracted by 2 until there were no more numbers. Thats how I got this answer.
About me: I live in West Point MS. I am in the 6th grade. I am the oldest of 4 children.
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Solution:
Q1: 6 prizes

i drew out the 5 tokens as circles and then i chose at random how many he got the first time. I sayed he got 4 out of the 5. Then i added 5 to 8 to get 13 and the question said he threw 17 times. well i made him hit 2 more prizes and in all got 6 prizes. That means he misses all of the 4 last shots. Maybe he was tired or something.
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Michael from USA
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Danetra T. Williams from United States of America
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sally from usa
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Someone from United States
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ammie from usa
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Orlando Alan from USA
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