Emblem Math

[SaidNoOneEver]

Sorry but it's been awhile since I've done fractions and I'm just trying to find out what my average damage per battle should be in order to get the Cruiser Commander I emblem.  Here is what I have so far....

In 66 battles, I've averaged 75,805 damage.  In order to complete the achievement, I need 100 battles and 83,000 average damage.  With 34 battles left, what does my average damage need to be to complete this objective?  Fractions suck and I'm sorry for being such a dunce on this, but I'm just having a problem putting together the equation to solve for x.  Lol.  Help me math tutors!

[b101uk]

the remaining 34 games must have damage no less than >97,000

 

i.e.

75,805 x 66 = 5,003,130

97,000 x 34 = 3,298,000

 

5,003,130 + 3,298,000 = 8,301,130 / 100 = 83,011.3 average which is close enough to 83,000

 

however is the 100 battles not a rolling 100, i.e. just your last 100, so you could play 150 battles its just the last 100 will count. 

 

[SaidNoOneEver]

54 minutes ago, b101uk said:

the remaining 34 games must have damage no less than >97,000

 

i.e.

75,805 x 66 = 5,003,130

97,000 x 34 = 3,298,000

 

5,003,130 + 3,298,000 = 8,301,130 / 100 = 83,011.3 average which is close enough to 83,000

 

however is the 100 battles not a rolling 100, i.e. just your last 100, so you could play 150 battles its just the last 100 will count. 

 

Thank you for your response!  However, I'm confused as to where the 97,000 damage came from?  How did you determine that I needed more than 97,000 for the remaining 34 games?  Also, it's encouraging that the 100 battles is not reset once I've arrived at 100 games and have no averaged 83,000 damage.  Thanks for that!

[LT_Rusty_SWO]

11 minutes ago, SaidNoOneEver said:

Thank you for your response!  However, I'm confused as to where the 97,000 damage came from?  How did you determine that I needed more than 97,000 for the remaining 34 games?  Also, it's encouraging that the 100 battles is not reset once I've arrived at 100 games and have no averaged 83,000 damage.  Thanks for that!

The answer is actually 96,961, rounded to the nearest whole number.

Here's the formula to solve:

A*B=C

X*Y=Z

(C+Z)/100=R

 

A = your current number of games

B = your current damage average

X = your remaining number of games

Y = your required damage average in those remaining games

R = your required damage average across the 100 games

 

But, the guy's right. It's a rolling average. You don't have to have it just in those first 100 games.

 

[yashma]

15 minutes ago, SaidNoOneEver said:

Thank you for your response!  However, I'm confused as to where the 97,000 damage came from?  How did you determine that I needed more than 97,000 for the remaining 34 games?  Also, it's encouraging that the 100 battles is not reset once I've arrived at 100 games and have no averaged 83,000 damage.  Thanks for that!

So if over 100 battles you need an average of 83,000 damage, then that equals a grand total of...

100* 83,000 = 8,300,000 damage 

So far if you are averaging 78,805 damage per battle, over 66 battles, then you have done a grand total of...

78,805*66 = 5,003,130 damage 

This means in your remaining games your total damage needs to be 

8,300,000 - 5,003,130 = 3,296,870 

So to calculate your average damage per battle needed, take the total damage still required to hit 8.3 million and divide by the number of battles you have left

3,296,870/34 = 96,966

Rounded up and that's roughly 97k per battle.  

[SaidNoOneEver]

Thanks a lot for the responses!  Your help is most appreciated!