Final answer:
There are 10,508 yellow marbles in the fountain, calculated by subtracting the number of purple and orange marbles from the total number of marbles.
Step-by-step explanation:
To determine how many yellow marbles are in the fountain, we need to subtract the total number of purple marbles and orange marbles from the total number of marbles in the fountain. The calculation is as follows:
- Total marbles = 29,602
- Purple marbles = 14,105
- Orange marbles = 4,989
- Yellow marbles = Total marbles - Purple marbles - Orange marbles
Now we perform the subtraction:
Yellow marbles = 29,602 - 14,105 - 4,989 = 10,508
Therefore, there are 10,508 yellow marbles in the fountain.