Conor has a bag of marbles. He counts out 10 marbles and finds that there are 3 blue marbles among them. If the bag has 600 marbles, predict how many will be blue.(1 point) Responses 420 marbles 420 marbles 60 blue marbles 60 blue marbles 200 blue marbles 200 blue marbles 180 blue marbles

Answer 1

To predict how many blue marbles are in the entire bag, we can set up a proportion based on the sample Conor counted.

In the sample of 10 marbles, there are 3 blue marbles. The ratio of blue marbles to total marbles is:

\[ \frac{3}{10} \]

Now, to find the expected number of blue marbles in the entire bag of 600 marbles, we can set up the following proportion:

\[ \frac{3}{10} = \frac{x}{600} \]

Where \(x\) is the number of blue marbles in the bag. We can solve for \(x\) as follows:

1. Cross multiply: \[ 3 \times 600 = 10 \times x \]

2. Calculate: \[ 1800 = 10x \]

3. Divide by 10: \[ x = 180 \]

So, based on the sample, we predict that there are 180 blue marbles in the bag. The correct response is 180 blue marbles.