A study of a population of 1,500 moths revealed that 15 out of every 75 moths in the population have gray stripes on their wings. Based on the results of this study, how many moths in the population have gray stripes on their wings?

300 moths

Step-by-step explanation:

Since 15 out of every 75 moths in the population have gray stripes on their wings, this means the fraction of moths that have gray stripes on their wings is 15/75 = 1/5.

Therefore, out of 1500 moths, the number of moths in the population that have gray stripes on their wings would be calculated as:

= 1/5 × 1500

= 300 moths