Question

The ratio of a basketball player's completed free throws to attempted free throws is 5 to 9. If she completed 20 free throws, find how many free throws she attempted. Round to the nearest whole number if necessary.

Answer 1

The ratio of a basketball player's completed free throws to attempted free throws is 5 to 9.

`5\colon9`

If she completed 20 free throws, find how many free throws she attempted.

`20\colon X`
`5\colon9\Colon20\colon X`
`(5)/(9)=(20)/(X)`
`X=(20\cdot9)/(5)`
`X=36`

She attempted 36 throws.

Another way to do it, there are 4 times 5 free throws, then:

`5\cdot4\colon9\cdot4`
`20\colon36`