Question

Catherine completed 16 out of 20 questions correctly on her test. What percent did she answer correctly?

Answer 1

See the entire solution process below:

Explanation:

We can rewrite this problem as: What percent is 16 of 20?

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as `x/100`.

So we can solve the following equation for `x`:

`x/100 = 16/20`

`color(red)(100) xx x/100 = color(red)(100) xx 16/20`

`cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = cancel(color(red)(100))5 xx 16/color(red)(cancel(color(black)(20)))`

`x = 80`

Catherine answered 80% of the questions correctly.