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# Solving unit price problem

Miranda's Maid Service charges $280 to clean 8 offices. What is the company's price for cleaning a single office? Created by Sal Khan and Monterey Institute for Technology and Education.

Video transcript

Miranda's Maid Service charges
$280 to clean 8 offices. What is the company's price for
cleaning a single office? So they charge $280 to
clean 8 offices. So it's $280 per every
8 offices. And then we can simplify this. We could see, well,
are both of them divisible by a common factor? And this one looks like
it is divisible by 8. 200 is divisible by
8, and then 80 is divisible by 8 as well. So let's divide both the
numerator and the denominator by 8. And if we do that, 8 goes
into 28 three times. 3 times 8 is 24. Subtract. You have 4 left over. 8 minus 4 is 4. Bring down this 0. 8 goes into 40 exactly
five times. 5 times 8 is 40, and you
have no remainder. So when you divide 280
by 8, you get 35. And if you divide 8
by 8, you get 1. So this rate simplifies to, this
price per office, I guess we could call it, simplifies
to $35 for every 1 office, which we could also write as 35
over 1 dollars per office, which is the exact same thing
as $35 per office. And we're done. That is the company's
price for cleaning a single office: $35.