The phrase in the original question is:
....if they lost 12 games......
not
....if they lost board games......
Answer:
36 games won
Step-by-step explanation:
Given
[tex]\%Win = 75\%[/tex]
[tex]Lost = 12\ games[/tex]
Required
Number of games won
Give that: [tex]\%Win = 75\%[/tex]
The percentage loss is:
[tex]\%Loss = 100\% - \%Win[/tex]
So, we have:
[tex]\%Loss = 100\% - 75\%[/tex]
[tex]\%Loss = 25\%[/tex]
Calculate the number of games (n) using:
[tex]Lost = \%Loss * n[/tex]
[tex]12 = 25\% * n[/tex]
Make n the subject
[tex]n = \frac{12}{25\%}[/tex]
[tex]n = 48[/tex]
So, the games won is:
[tex]Win = n - Lost[/tex]
[tex]Win = 48 - 12[/tex]
[tex]Win = 36[/tex]