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# Solving unit price problem

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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.