Ratios and proportions help needed

Pimptatay said:
This is somewhat making sense to me. The party that “you want to break up 45 into 10 equal pieces” is what I’m confused with.

I get the calculation but how do you just derive to 10 all the sudden.

The ratio was 3:7 so what you just add those for no reason?? To get whatever you need to split the 45?
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I will try my very best to tell you what is going.
You have a big pile of marbles. You want to split them up into two piles in a 3:7 ratio.
Here is what you do. You take 3 marbles from the pile and put them into pile #1. Then you take 7 marbles from the pile and put them in pile #2. If any marbles are left over then you take 3 marbles and put them into pile #1 and then take 7 marbles and put them into pile #2. You continue this process until no marbles are left.

Can you do this slightly differently? YES! You can take 10 marbles (yes, 3+7) at a time and put 3 of these 10 marbles in pile #1 and the remaining 7 into pile #2. Continue until no marbles are left.

Now suppose there are 80 marbles to start with. How many times can you take 10 marbles? The answer is 80/10 or 8 times.
So 8 times you put 3 marbles into pile #1 (for a total of 8*3 marbles) and 8 times you put 7 marbles into pile #2 (for a total of 8*7 marbles).

So in the end if you have 80 marbles you want to put into a 3:7 you compute 80/(3+7) = 8. The you multiply this 8 by 3 and 7.

Is this clear? Is there anything you do not understand?
 
Jomo said:
I will try my very best to tell you what is going.
You have a big pile of marbles. You want to split them up into two piles in a 3:7 ratio.
Here is what you do. You take 3 marbles from the pile and put them into pile #1. Then you take 7 marbles from the pile and put them in pile #2. If any marbles are left over then you take 3 marbles and put them into pile #1 and then take 7 marbles and put them into pile #2. You continue this process until no marbles are left.

Can you do this slightly differently? YES! You can take 10 marbles (yes, 3+7) at a time and put 3 of these 10 marbles in pile #1 and the remaining 7 into pile #2. Continue until no marbles are left.

Now suppose there are 80 marbles to start with. How many times can you take 10 marbles? The answer is 80/10 or 8 times.
So 8 times you put 3 marbles into pile #1 (for a total of 8*3 marbles) and 8 times you put 7 marbles into pile #2 (for a total of 8*7 marbles).

So in the end if you have 80 marbles you want to put into a 3:7 you compute 80/(3+7) = 8. The you multiply this 8 by 3 and 7.

Is this clear? Is there anything you do not understand?
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Yes it is clear! Thank you.
 
Jomo said:
It's a round die with an uncountable number of numbers on it. Didn't they teach you anything in engineering school?
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Nope ... those are glass spheres that were dislodged from the head of mathematicians!!
 
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