Answer:We can use the concept of ratios to solve this problem. The ratio of giants to elves in terms of capacity is 160:240, which simplifies to 2:3. This means that for every 2 giants, there are 3 elves in terms of capacity.
If there are already 100 giants inside, we can determine the corresponding number of elves by setting up a proportion:
2 giants / 3 elves = 100 giants / x elves
Cross-multiplying, we get:
2x = 3 * 100
2x = 300
Dividing both sides by 2:
x = 150
Therefore, if there are already 100 giants inside the theater, there can be an additional 150 elves admitted so that the theater is full.
Explanation: