Final answer:
The ratio of chocolate chip cookies to the total number of cookies Victor baked is 5:12, after simplifying the initial ratio of 30:72 by dividing both terms by 6.
Step-by-step explanation:
To find the ratio of chocolate chip cookies to the total number of cookies, first calculate the total number of cookies Victor baked. He baked 30 chocolate chip cookies, 18 peanut butter cookies, and 24 sugar cookies.
The total number of cookies is:
- 30 (chocolate chip) + 18 (peanut butter) + 24 (sugar) = 72 cookies
Now, the ratio of chocolate chip cookies to the total number of cookies is:
- 30 (chocolate chip) / 72 (total cookies)
This ratio can be simplified by dividing both numbers by their greatest common divisor, which is 6:
Therefore, the simplified ratio of chocolate chip cookies to total cookies is 5:12.