Question

At some point in the season, the Unicorns had won 60% of their baseball games. After that point, they won 8 more games and lost 2, to finish the season having won 65% of their games. How many games did the Unicorns play during the season?

Answer 1

Well, I think I can break it down... I just learned this stuff really really recently, though so excuse me if it's not accurate.

Okay we only know of ten games the unicorns played, right? And only 8 winning were counted from 60% to 65%.

So 8 = 5%

And 13 x 8 = 104

So there were 104 games in which they won. That makes up 65% of the spectrum.

Now we have to find for the games they didn't win which is 35%. If 65% equals 104 what does 35% equal?

I think that's how you'd go about it, but I'm not positive. Sorry, I couldn't finish the equation. I'm exhausted and it's nearly 4 A.M. On the bright side, though you only have one more step to do.

Answer 2

After winning 8 games (of 10) their % rose from 60% to 65%. So,

.60n + 8 = .65(n+10)
n = 30

So, they played 40 games altogether.

check:
60% of 30 = 18
18+8=26 is 65% of 40