Question

Ms. Stephanie bought a package of pens. Out of every 10 pens, 1 are black. If there are 30 pens in

the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are
black?
What fraction of the pens in the pack is black?

Answer 1

The fraction of the black pens in the pack is
`(3)/(30)`

The percent of the black pens in the pack is 10%

Explanation:

If 1/10 pens are black, we can use this same proportion to find how many black pens will be in the pack of 30.

Using this, there will be 3/30 pens that will be black, since 3/30 is equivalent to 1/10 when reduced.

So, the fraction of the black pens in the pack is
`(3)/(30)`

To find the percent, divide 3 by 30:

3/30

= 0.1 (10 percent)

So, the percent of the black pens in the pack is 10%

Answer 2

1/10. 10% Since there are 30 pens, there are 3 black ones.