Help me solve this, please

[Caribcherub]

Hallsoflvy, you answered this question before, but I still cannot set up formula. I have won 95% of my games in Hearts. I have played 2,242 games and won 2,129. How many more games, presuming I win all games, do I need to play to get to 96%?

 

[Caribcherub]

New member

I like to play Hearts and the app I use shows my win percentage. To date, I have played 2245 games and won 2132. This computes to .9496659 of the games played, which my app shows as 95%, due to rounding.

My question is: Is there a way to calculate how many more games I must win to get to 96% If I win all of my games?

 

[Deleted member 4993]

New member

I like to play Hearts and the app I use shows my win percentage. To date, I have played 2245 games and won 2132. This computes to .9496659 of the games played, which my app shows as 95%, due to rounding.

My question is: Is there a way to calculate how many more games I must win to get to 96% If I win all of my games?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

 

[Steven G]

That will depend on how many games you will lose as well.
Suppose that you want to know how many games must you win in a row from here on to have your 96%.

Let x = the number of games you must win. Then you need to solve (2132+x)/(2245+x) = .96

 

[Steven G]

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

I suspect that this is not a homework problem and gave a big hint. I hope it was OK

 

[Deleted member 4993]

I suspect that this is not a homework problem and gave a big hint. I hope it was OK

I think your approach is OK. The student will have to do some work to get the final answer......

 

[Caribcherub]

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

I read an earlier thread, identical to mine with slightly different numbers, but I don’t understand where he came up with 23.72. Anyway, the post read:


How many more won out of how many more played? Let n be the number of additional games played and m the number of additional games won. Then you want 1639+m1732+n=0.96. That is the same as 1639+m=0.96(1732+n)=1662.72+0.96n or 0.96n=m−23.72. That is still one equation in two unknowns and has an infinite number of solutions. Requiring that n and m be positive integers reduces that but there still might be more than one possible solution.

If your question is about how many more wins (you win all additional games), so that m= n, 0.96n=n−23.78 so that 0.04n=23.78 and n= 594.5. At minimum, you would have to play 596 more games and win all of them!

 

[Steven G]

I gave you the equation you have to solve. Do you not understand it? Do you not know how to solve it. Do you understand what x means. If you play and win x more games, then you won (2132+x) games and you have played (2245+x) games. You want this ratio to be at least .96. Please try this or tell us where you are stuck.

 

[Dr.Peterson]

I read an earlier thread, identical to mine with slightly different numbers, but I don’t understand where he came up with 23.72. Anyway, the post read:


How many more won out of how many more played? Let n be the number of additional games played and m the number of additional games won. Then you want 1639+m1732+n=0.96. That is the same as 1639+m=0.96(1732+n)=1662.72+0.96n or 0.96n=m−23.72. That is still one equation in two unknowns and has an infinite number of solutions. Requiring that n and m be positive integers reduces that but there still might be more than one possible solution.

If your question is about how many more wins (you win all additional games), so that m= n, 0.96n=n−23.78 so that 0.04n=23.78 and n= 594.5. At minimum, you would have to play 596 more games and win all of them!

You're referring to https://www.freemathhelp.com/forum/...e-win-percentage-question.117769/#post-464500 .

He has the equation 1639+m=1662.72+0.96n (after removing the middle part). Solving this, he subtracted 1662.72 from each side, leaving 1639+m-1662.72=0.96n, and 1639 - 1662.72 = -23.72.

Do you understand the rest?