Final answer:
The customer purchased 16 chocolate chip cookies and 14 sugar cookies.
Step-by-step explanation:
To solve this problem, we can set up a system of equations. Let's call the number of chocolate chip cookies x and the number of sugar cookies y. We have two pieces of information: the total number of cookies (x + y = 30) and the total cost ($1.25x + $1.50y = $41.00). We can solve this system of equations using substitution or elimination.
If we substitute x = 30 - y into the second equation, we get $1.25(30 - y) + $1.50y = $41.00. Simplifying this equation, we get 37.5 - 1.25y + $1.50y = $41.00. Combining like terms, we get 0.25y = 3.5. Dividing both sides by 0.25, we find y = 14.
Substituting the value of y back into x + y = 30, we have x + 14 = 30. Solving for x, we find x = 16. Therefore, the customer purchased 16 chocolate chip cookies and 14 sugar cookies, which corresponds to the second option: 15 chocolate chip cookies and 15 sugar cookies.