Question

Collins middle school's basketball team won 75% of their games if they lost the board games how many games did they win?

Answer 1

The phrase in the original question is:

....if they lost 12 games......

not

....if they lost board games......

Answer:

36 games won

Explanation:

Given

`\%Win = 75\%`

`Lost = 12\ games`

Required

Number of games won

Give that:
`\%Win = 75\%`

The percentage loss is:

`\%Loss = 100\% - \%Win`

So, we have:

`\%Loss = 100\% - 75\%`

`\%Loss = 25\%`

Calculate the number of games (n) using:

`Lost = \%Loss * n`

`12 = 25\% * n`

Make n the subject

`n = (12)/(25\%)`

`n = 48`

So, the games won is:

`Win = n - Lost`

`Win = 48 - 12`

`Win = 36`