Final answer:
To find the number of red marbles, subtract the number of green and yellow marbles from the total number of marbles in the box.
Step-by-step explanation:
To find the number of red marbles, we need to subtract the number of green and yellow marbles from the total number of marbles in the box. Given that one-third of the marbles are green and one-fourth of them are yellow, we can calculate:
Number of green marbles = (1/3) * 36 = 12
Number of yellow marbles = (1/4) * 36 = 9
Total number of red marbles = Total number of marbles - Number of green marbles - Number of yellow marbles
Total number of red marbles = 36 - 12 - 9 = 15
Therefore, there are 15 red marbles in the box.