Question

Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils.

Which is the correct comparison of their ratios of pens to pencils?

Answer 1

8/9 > 4/9
Meredith has more pens to pencils than Brody

Answer 2

`(8)/(9)>(4)/(9)`

Explanation:

We have been given that Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils.

We can see that Meredith and Brody has same number of pencils, but Meredith has more pens than Brody.

We can represent the pen to pencils ratio for Meredith and Brody as:

`\text{Meredith's pens to pencils proportion}=(8)/(9)`

`\text{Brody's pens to pencils proportion}=(4)/(9)`

We can compare the pens and pencils proportions that Meredith and Brody have as:

`(8)/(9)>(4)/(9)`

Therefore,
`(8)/(9)>(4)/(9)` is the correct comparison of their ratios of pens to pencils.