Atheater can hold 160 giants or 240 elves. if 109 giants are inside how many elves can also be admitted.

  it depends

Step-by-step explanation:

If the tradeoff between giants and elves is linear, then about 76 elves can be admitted. If it is non-linear, we need more information about the tradeoff.

For example, elves may fit in the spaces between giants in such a way that they take up proportionately less room. Or, elves may repel giants in such a way that they take up proportionately more room.

See the attached graph for some possibilities.

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The linear equation can be written as ...

  g/160 + e/240 = 1

Then for g=109, we can solve for "e" as ...

  109/160 + e/240 = 1

  240(1 -109/160) = e = (3/2)(51) = 76.5

If the tradeoff is linear, 76 elves can be admitted.

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.