Question

Michael shot practice free throws before his basketball game. He took 50 practice free throws and missed only 6. What percentage of his practice free throws did Michael make?

Answer 1

See a solution process below:

Explanation:

If Michael missed 6 out of 50 free throws then he made:

`50 - 6 = 44`

Let's call `p` the percentage of free throws Michael made.

"Percent" or "%" means "out of 100" or "per 100",

Therefore p% can be written as `p/100`.

Because Micheal made 44 out of 50 free throws we can write an equation to find `p` as:

`p/100 = 44/50`

`color(red)(100) xx p/100 = color(red)(100) xx 44/50`

`cancel(color(red)(100)) xx p/color(red)(cancel(color(black)(100))) = cancel(color(red)(100))color(red)(2) xx 44/color(red)(cancel(color(black)(50)))`

`p = color(red)(2) xx 44`

`p = 88`

Michael made `88/100` or `88%` of the practice free throws.