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

Answer:

The total number of games won by Unicorn is 40.

Step-by-step 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 $\frac{60}{100} \times(x-10)$

Combining the 8 games we get,

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

Step 2 of 2

The unicorn totally won 65% of the games played.

That is $\frac{65}{100} \times x=0.65 x$

Equating both the equation gives

$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$