SOLUTION: Trying to express "2 kilometers less than 3/5 the distance, d). Is (3/5d - 15) not correct? What is correct and why? THANK YOU!

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Question 316844: Trying to express "2 kilometers less than 3/5 the distance, d). Is (3/5d - 15) not correct? What is correct and why? THANK YOU!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The part is right since (fractional part) OF (something) translates to multiply the fraction times the something.

The problem is with the rest of it. We know that we have to subtract something from , but exactly how much? "2 kilometers less..." gives us a clue, but NOT the answer.

That is because the distance, , does not have any units of measure associated with it. If the unit of measure for is kilometers, then the answer is simple and direct:



But if the unit of measure for is something different than kilometers, then you must convert 2 kilometers to an appropriate amount in that other unit of measure. Having done that you can say:



In the highly improbable case that is measured in units equal to , then



is the correct answer -- but ONLY in that case.

John