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A theater can hold 160 giants or 240 elves. If there is 100 giants inside, how many elves can also be admitted so that the theater is full?

User Leander
by
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2 Answers

2 votes

Answer:

The answer is 150 elves

Explanation:

160giants=240elvea

100giants=x

x=240×100/160

x=150elves

User Blueberryfields
by
8.1k points
3 votes

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:

User Alex Ott
by
8.3k points
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