So, if the bag consists of a total of 200 marbles we have the right to estimate the variety of blue marbles:

5 / 10 = x / 200

x = 5 * 200 / 10

x = 100 blue marbles

If in a full of 200, there space 100 blue. Then, there room 200-100 = 100 red marbles.

You are watching: A bag contains red and blue marbles

Estimated 100 blue marbles and also 100 red marbles.

Here"s what us know:

The sample bag has 10 marbles. The bag is consisted of of blue and also red marbles.5 of them space blue. This leads united state to recognize that as soon as we subtract the 5 blue marbles from the bag, then we room left v 5 marbles that space red. 10-5=5 or 5+5=10

Here"s what we desire to know:

How many blue marbles and also red marbles can we calculation there space in a bag of 200 marbles?

We use the sample bag the 10 marbles to assist us through our estimation.

So if we compare the two bags, we view the following:

SampleBag1%

5 blue? blue50% blue

5 red? red50% red

10 total200 total100% total

We see that fifty percent the sample bag is blue, half the bag is red; 50% blue, 50% red. Therefore, we can reasonably estimate that there room 100 blue marbles in the bag and 100 red marbles in the bag. 100 is fifty percent of 200 OR 50% (100/200 = 1/2)

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