Answer: 96
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Explanation:
The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.
Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.
Solve for x.
x/162 = 16/27
27x = 162*16 ... cross multiplication
27x = 2592
x = 2592/27
x = 96
The team would win 96 games if it kept the same winning rate going.
Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.
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Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.
w = number of games won over the entire 162 game season
162-w = number of games lost over the entire season
w/(162-w) = win to loss ratio
16/11 = win to loss ratio after winning 16 games and losing 11
Setting those last two expressions equal to each other and solving for w gets us...
w/(162-w) = 16/11
11w = 16(162-w)
11w = 2592-16w
11w+16w = 2592
27w = 2592 ... this hopefully looks a bit familiar from before
w = 2592/27
w = 96 games won
