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
Grade: 9 Age: 15
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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Nephtalim Antoine Millard from Canada
Grade: 6 Age: 11
Solution:
Q1: Adam won Six prizes

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
Grade: 6 Age: 13
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
About me: I've moved twice
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Kenyatta from USA
Grade: 6th Age: 11
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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runescapetam from canada
Grade: 3 Age: 8
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.
About me: i like math
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Michael from USA
Grade: 7 Age: 13
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Danetra T. Williams from United States of America
Grade: 5 Age: 11
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sally from usa
Grade: 6th Age: 12
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Someone from United States
Grade: 6 Age: 12
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ammie from usa
Grade: 6 Age: 11
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Orlando Alan from USA
Grade: 6 Age: 12
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