Question

8.45 At some point in the season, the Unicorns had won 60% of their basketball 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?

Hint: Assign a variable.

Answer 1

The total number of games won by the unicorn is 40

Answer 2

The total number of games won by Unicorn is 40.

Explanation:

• We are given with a word problem
• We are asked to find the number of unicorns played during the season
• We can do this in two steps

Step 1: Finding the win percentage

Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is
`$(60)/(100) *(x-10)$`

Combining the 8 games we get,

`$$\begin{gathered}(60)/(100)(x-10)+8=(60)/(100) * x-(60)/(100) * 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$$`

Step 2 of 2

The unicorn totally won 65% of the games played.

That is
`$(65)/(100) * x=0.65 x$`

Equating both the equation gives

`$$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\(2)/(0.05)=x \\40=x\end{gathered}$$`