Rate Conversions 2
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>>This is Your Math Gal Julie Harland. Please visit my website at YourMathGal.com where all of my videos are organized by topic. This is example 2 on rate conversions. Make sure you have already watched my videos on unit conversions. So we’re going to do this problem. If nuts cost 8 dollars per pound, how much do they cost per ounce? So we’re assuming we’re still going to have our answer in dollars, but it’s going to be how many dollars per ounce instead of dollars per pound, okay? So let’s see; right now we’ve got that it’s 8 dollars, right, per pound; per 1 pound. Now if you want, you can write that as 8 dollars to 1 pound. Okay, that’s up to you how you want to write that. All right, so now we need a conversion factor so you have to know how many ounces are in a pound and you can look that up if you’re not sure. But 1 pound is the same as 16 ounces. So since these are really the same number, you could write them in fractional form equaling to one, either writing the 1 pound over the 16 ounces; that’s the number 1. Or you can write it as 16 ounces over 1 pound. And we want to choose one of these, so this pound that you see in the denominator is going to cancel by the pound in the numerator. So you look here and you see which one of these ratios do I want to use? And this is our choice because we have a pound in the numerator. So let’s multiply this by 1 pound over 16 ounces. So what happens? The pounds cancel and I’ll end up with dollars over ounces which is dollars per ounce. So all we have to do is 8 over 16. Now, you don’t need a calculator for that. 8 over 16; let’s just do that down here; 8 sixteenths is really one half, right? But if we’re talking money, that would be 50 cents a pound, right? Hopefully you know that. So this will be 50 cents per ounce. Now if you wanted to write it in terms of cents then you would write 50 cents per ounce. But when we’re talking about money, we don’t usually write half a dollar like that, so I would not leave it as a fraction. This is Your Math Gal Julie Harland. Please visit my website at YourMathGal.com where all of my videos are organized by topic.

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