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The ratio tells us that for every 5 red marbles there are 4 blue ones.

Now the total number is 225.

Out of 9 total marbles, we know 4 are blue.

So we can look at 4 blue/9 total= (x blues which we want to know)/ 225.

This is not hard to solve by cross multiplication.

9x=4(225)

or 9x=900 so x is 100 and there are 100 blue marbles.

Now if that is so, we know the rest of the marbles must be red so there are 225-100=125 red ones.

Let us check that this ratio is 5/4 as desired.

Red/Blue=125/100 and 25 goes into 125 5 times and into 100 4 times so this becomes

5/4.

How else would we do this problem. Since the ratio of 5/4, we know as we said above there are 4/9 blue marbles ( every 4 marbles out of 9 is blue). Now 4/9(225)=4x225/9=100.

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