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CCSS.Math:

Miranda's maid service charges 280 dollars to clean eight offices what is the company's price for cleaning a single office so they charge two hundred and eighty dollars so they charge two hundred and eighty I'll write it out dollars two hundred and eighty dollars to clean eight offices so it's two hundred eighty dollars per every eight offices two hundred eighty dollars for every eight offices 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 two hundred is divisible by 8 and then eighty is divisible by 8 as well so let's divide both the numerator and the denominator by eight and if we do that 8 goes into 288 goes into 28 three times 3 times 8 is 24 subtract you have four left over 8 minus 4 is 4 bring down this 0 8 goes into 40 exactly 5 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 this this price per office I guess we could call it simplifies to $35 dollars for every one office which we could also write as 35 over $1 per office dollars per office which is the exact same thing as 35 $35 dollars per office and we're done that is the company's price for cleaning a single office $35