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When a player in a certain game tossed a coin a number of

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New post 14 Dec 2012, 08:28
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When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?

(1) The player tossed the coin 24 times.
(2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.
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New post 14 Dec 2012, 08:30
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?

Given: H-4=T.
Question: T=?

(1) The player tossed the coin 24 times. H+(H-4)=24. We can find H. Sufficient.

(2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points. 3H+1*(H-4)=52. The same here: we can find H. Sufficient.

Answer: D.
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Re: When a player in a certain game tossed a coin a number of  [#permalink]

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New post 10 Jan 2014, 10:18
Walkabout wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?

(1) The player tossed the coin 24 times.
(2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.



We are given that (T + 4) + T = Total tosses, by the stem


1) Gives us total tosses, so now we only have one unknown and thus we can solve for heads

2) (I incorrectly answered that this is insufficient), this one is pretty straightforward: The stem tells us that 4 more heads than tails resulted.. Now we're told that for each tails, he gets 1 point.. So just subtract 4 points from 52, and now we know how many points stem from heads, which is 48. Divide 48/3 and now you have number of heads. Sufficient.


So, D.
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New post 25 Sep 2017, 11:30
Given that H = 4 + T ----> T = H-4
1. Coin is tossed 24 times ----> H + T = 24 ----> H + (H -4) = 24. Sufficient
2. Head gets 3 points and tails 1 point
Hence, 3H + T = 52 -----> 3H + (H-4) = 52. Sufficient.

Answer : D
When a player in a certain game tossed a coin a number of &nbs [#permalink] 25 Sep 2017, 11:30
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