Solving Proportions Problems

Solving Proportions Problems-30
Try always to clearly define and label your variables.Also, be sure to go back and re-check the word problem for what it actually wants.

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If you're seeing this message, it means we're having trouble loading external resources on our website. Or the ratio of 8/36 is equal to the ratio of 10 to what. Now sometimes when you see proportion like this, sometimes people say, oh you can cross-multiply. And it really comes out of a little bit of algebra. But if you don't understand it, or if it doesn't make as much sense to you at this point, don't worry too much about it. When you cross-multiply, you're saying that the numerator here, times the denominator over here, is going to be equal to, so 8 times n, is going to be equal to the denominator over here, let me just different color, the denominator over here, times the numerator over here. And we're getting n is equal to 360 divided by 8. If I write 8 times question mark is equal to 360, well, question mark could definitely be 360/8. But you could stop watching this, if you'll find this part confusing. If we want just an n here, we would want to multiply this side times 36-- I'll do that in a different color-- we'd want to multiply this side times 36 times 8, because if you multiply these guys out, you get 1. But since we're doing it to the left-hand side, we also have to do it to the right-hand side, so times 36/8.

If you're behind a web filter, please make sure that the domains *.and *.are unblocked. And there's a bunch of different ways to solve this. Or another way to write 10/8, 10/8 is the same thing as 5/4. You could do that without thinking in strict algebraic terms. If I multiply these out, this guy and that guy cancel out, and it's definitely 360. But now we want to actually divide this to actually get our right answer, or a simplified answer. So let's rewrite our proportion, 8/36 is equal to 10/n. Well the easiest way to solve for n is maybe multiply both-- this thing on the left is equal to this thing on the right. These guys cancel out and we're left with n is equal to 10 times 36 is 360/8.

If not, then your instructor is probably expecting that you have these factors memorized.) I'll set everything up in a long multiplication so that the units cancel: Take note of how I set up the conversion factors for my multiplicate (above) in not-necessarily-standard ways.

For instance, one usually says "sixty minutes in an hour", not "one hour in sixty minutes".

So why did I enter the hour-minute conversion factor (in the second line of my computations above) as "one hour per sixty minutes"?

Because doing so lined up the fractions so that the unit of "hours" in my conversion factor would cancel off with the "hours" in the original " I've got two elements here for my proportion: grams of flour and number of cookies.Now I see why the instructions said to round to an "appropriate" whole number: Jade can only make whole cookies; the "point-eight" of a cookie will be an undersized niblet that he'll eat before heading to the party.While normally I'd round this number Other than for the rate-conversion exercise above, we've been able to solve all of the proportions by the shortcut method.In this case, we can verify the size of the "drop" from one end of the house to the other by checking the products of the means and the extremes (that is, by confirming that the cross-multiplications match) of the completed proportion: As far as I know, biologists and park managers actually use this technique for estimating populations.The idea is that, after allowing enough time (it is hoped) for the tagged fish to circulate throughout the lake, these fish will then be evenly mixed in with the total population.But that word "over" gives a hint that, yes, we're talking about a fraction.And this means that "rise over run" can be discussed within the context of proportions.I got to "grams" first when reading the exercise, so I'll put "grams" on top in my proportion.Since the relationship is given to me in terms of grams, not kilograms, I'll need to convert Jade's on-hand measure to " Ohhh!I'll use this set-up to make sure that I write out my proportion correctly, and then I'll solve for the required weight value.By the way, since I'm looking for a weight, I'm going to use Since this is a "real world" word problem, I should probably round or decimalize my exact fractional solution to get a practical "real world" sort of number.

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