# Ok--here's a puzzle for you.

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DzyMsLizzyposted 3 years ago

This may not be "fun" as it represents a math problem.  I suck at math.  This is not a game, though; I actually want to find out the answer.

My husband says it will require algebra.  If so, I'm done for. LOL
(By the way--this is in USA measurements--not metric.)

If it takes 3 scoops of rice to fill a 2-cup measure, how much does the scoop itself hold?

Thanks in advance to anyone who can solve this problem for me!

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calculus-geometryposted 3 years ago in reply to this

The scoop holds 2/3 of a cup.  You can check it: 3 times 2/3 of a cup equals 2 cups.

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DzyMsLizzyposted 3 years ago in reply to this

Thank you, calculus-geometry.  I didn't even know where to begin with addition, subtraction or division, or what.
I had a really, really bad year with math in 4th grade--right when we were supposed to be learning this type of thing--with a teacher who terrified me...so I didn't learn any of it.
Given that I am also more of a wordsmith than a mathematical mind anyway, that meant double-trouble.

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calculus-geometryposted 3 years ago in reply to this

Your mathematical intuition is probably better than you think.

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fpherj48posted 3 years ago in reply to this

DZY!!  C'mon, girlfriend.....I thought you were my friend!?   Math?  Really?   I have your answer, Dzy.  Just throw the damned SCOOP away and use the CUP, in the first place, to scoop your rice.  Better yet substitute a potato for the rice!!  I'm sure your husband won't mind.
Any more problems?  Feel free to check with me!

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DzyMsLizzyposted 3 years ago in reply to this

LOL, fpherj48--
Yeah, I know, right? Every so often, my brain goes wandering off unsupervised.....

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anatomynotesposted 3 years ago in reply to this

if 3 scoops holds 2 cups
then x scoops holds 1 cup

x = (3 scoops multiplied by 1 cup) divided by 2 scoops
x = 1.5 scoops

so now we know 1.5 scoops hold 1 cup
therefore 1 scoop holds y cups

y = (1 cup times 1 scoop) divided by 1.5 scoops
y = 0.67 cup (this is two-thirds of a cup)
(now that you have the answer in cups, you can convert 'cups'  to another unit if you want)

Here is your answer: the scoop itself is two-thirds of a cup.
If you were wondering, the method I used is called cross-multiplication.

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Phyllis Doyleposted 3 years ago in reply to this

What?  I knew the answer was the same as you came up with, yet I just figured it out quickly with logic. hmmm ... I guess I figured it out by your method anatomynotes without even thinking about it. I am just not good at writing down the calculations.

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anatomynotesposted 3 years ago in reply to this

I believe you Phyllis Doyle

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Martin Heeremansposted 3 years ago

According to Wikipedia a cup is u.s standards equals 8 fluid ounces.

To work out the math it is done using a division.

If one cup equals 8 fluid ounces then that's a total of 16 fluid ounces for 2 cups.

To work out the individual measurement per scoop we divide the total by the amount of scoops.

That's 16/3 which works out to be 5.3 (recurring) fluid ounces per single scoop.

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DzyMsLizzyposted 3 years ago in reply to this

Thanks--but the issue was volume, not fluid ounces.  I was measuring rice, not liquids.

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JRScarbroughposted 3 years ago

It’s a linear equation. Calculus provided the answer.

The way it looks on paper:

3 * x = 2

As you can see, the answer is easier to intuit using the rules of algebra.

You want to isolate the unknown variable by getting all your known numbers to one side.

To do that, you simply do the opposite. If adding, you subtract. Multiplying, divide.

x = 2/3 is the solution because you can’t arrive at a whole number as an answer. You simply look at the equal sign as a type of fulcrum. Just grab the 3 and swing it over behind the two and reverse whatever you were doing in the original equation. Here, we change * to / and your problem is solved.

I always had a hard time with mean teachers too. My kindergarten teacher got fired for scratching me out of anger and I never liked school afterwards. I feel your pain there. Teachers can either make a child love education or cower from it. That’s why they should be thoroughly ensured to actually like children.

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DzyMsLizzyposted 3 years ago in reply to this

LOL, JRScarbrough...
"...easier to intuit using the rules of algebra..."  Uh...thanks...but I did not grasp algebra.  I tried taking it as a mid-life college student, and in spite of becoming well-known in the learning center; monopolizing the professor's office hours and hiring a private tutor, I flunked the class anyway.  (And that was a "gentle" class in the "Women in Transition" program...the prof was a sweetheart!)  I just don't have a math brain.  Algebra seems merely arbitrary to me..I am apparently incapable of grasping the concept.

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JRScarbroughposted 3 years ago in reply to this

Lol! I completely understand. If I had not had a brief occasion to actually think I could accomplish computer science studies, I would mostly be at a loss myself. I went through algebra and trigonometry and entered into the higher maths and then blew a gasket and have been an artist ever since.

It ended up that I was more gifted in language than I had first been advised. Math is simply not my thing at all. I just have some of it still burning a hole in my brain.

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Shyron E Shenkoposted 3 years ago

3/4 cups each. that is a guess my friend. I passed the math exam by guessing (that I am good at) every question.

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Shyron E Shenkoposted 3 years ago

3/4 cups each. that is a guess my friend. I passed the math exam by guessing (that I am good at) every question.

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Mark Leesposted 3 years ago

157.7254906666667 cubic centimetres of rice, achieved without algebra.

Working:
1 US cup = 236.588236 cubic centimetres. Times this figure by two and divide the result by three gives you the answer.

If you are looking for weight it will be an estimate as different types of rice have different weights.

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Gypsy Rose Leeposted 3 years ago

Math and I were never friends in school. Forget the measures. I have two standards for rice. 1 cup of rice - two cups of water or bouillon, 2 cups of rice - 4 cups of water or bouillon. That's it I never do more with rice. Oh yes, rice comes out better if you make it in a skillet adding spices, turmeric and a touch of cooking oil.

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The Examiner-1posted 3 years ago

DzyMsLizzy,
I was not great at math but my guess is 10.66 to 10.67 oz. per scoop. I hope that this helps some.

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The Examiner-1posted 3 years ago

I answered too quickly before. I meant half of that, 5.33 to 5.34 oz.

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JRScarbroughposted 3 years ago in reply to this

I think she was looking for just general approximation using algebra for the volume and in terms of cups and scoops.

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DzyMsLizzyposted 3 years ago in reply to this

Actually, I was looking for a solution without using algebra...

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JRScarbroughposted 3 years ago in reply to this

What do you call someone who hates algebra? An algebraist? IDK.

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DzyMsLizzyposted 3 years ago in reply to this

An algephobe?

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The Examiner-1posted 3 years ago in reply to this

That would be more like a 'fear' of it. How about an 'anti-algebrist'?

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The Examiner-1posted 3 years ago

Actually that is what I did.

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DzyMsLizzyposted 3 years ago in reply to this

working