Final answer:
The ratio of the number of problems solved to the total number of problems is 3:5, after simplifying the fraction 6/10.
Step-by-step explanation:
The question asks for the ratio of the number of problems solved to the total number of problems. The student solved 6 out of 10 problems. To find the ratio, we simplify 6/10 by dividing both numerator and denominator by their greatest common divisor, which is 2. This gives us 3/5. Therefore, the ratio of the number of problems solved to the total number of problems is 3:5,so the option 1) 3:5 is the correct option for the given question.