#1). Your answer is correct, but I'm having some trouble
following how you came to it. I think this would have been
a perfect opportunity to use a proportion.
(26 wins so far)/(54 games so far) = ('x' total wins)/(162 total games) .
Cross multiply the proportion: 54x = (162 x 26)
Divide each side by 54: x = (162 x 26) / (54) = 78 total wins.
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#2). You need to be a bit more careful with your percents.
26 divided by 54 = 0.4814...
= 48.14 % .
Rounded to the nearest tenth of a percent:
48.14 % ==> 48.1 % .
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#3).
In #1, you calculated that the team would win 78 games
out of the 162 in the whole season. Now, #3 is asking you
what that percentage will be.
Percentage = (games won) / (games played)
= (78) / (162)
Go ahead and do that division now, and be surprised.
Be very surprised !
How did you calculate the 78 wins for the whole season
in #1 ? How can anyone predict how many they'll win in
the future ? Realistically, they can't. But for the sake of
math, the question gave you a very powerful tool to use.
The question said "If this trend continues ... ".
What's the trend ?
The trend is winning 26 of every 54 games they play.
In #2, you found that this trend translated into 48.1% .
"If this trend continues", then they'll continue to win 48.1%
of all the games they play.
