Respuesta :

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]