A theater can hold 140 giants or 210 elves. If 90 giants are already inside, how many elves can also be admitted?

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22-05-2018
Mathematics

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A theater can hold 140 giants or 210 elves. If 90 giants are already inside, how many elves can also be admitted?

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nehniece nehniece · Answer 1 · 2018-05-22T17:29:15+02:00

75 elves.

I created a fraction to help solve for the number of elves. I did so by:

90/x=140/210

I solved for x which would equal 135. This is the equivalent number of elves in the theater. You would subtract this number from 210 which would equal 75.

OR

You can figure out how many elves equal 1 giant. In this case, you would divide 210 by 140 which equals 1.5 giants. Since there are 90 giants, you multiply 1.5 giants to find out an equivalent for elves which would equal 135. Same as before, subtract this from 210, resulting in 75.

ayoushivt ayoushivt · Answer 2 · 2022-06-03T11:37:16+02:00

If 90 giants are already inside, 126 elves can also be admitted.

What is ratio and proportion ?

A ratio is a comparison of two quantities. A proportion is an equality of two ratios.

A theater can hold 150 giants and 210 elves

So for 150 giants there are 210 elves

Then for 90 giants the elves that can be admitted is

150: 210 = 90 : x

150/210 = 90 / x

x = 90 * 210 / 150

x = 126 elves

If 90 giants are already inside, 126 elves can also be admitted.

To know more about Ratio and Proportion

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