Question

lee has a bag with 500 quarters. some are the older eagle quarters, and others are the newer state quarters. she pulls out 10 quarters at random. four are eagle quarters, and 6 are state quarters. based on this sample, how many of the quarters in the full bag were likely to be eagle quarters?
400
100
200
300

Explanation:

Step1: Find the proportion of eagle quarters in the sample.

The sample has 10 quarters, and 4 are eagle quarters. So the proportion of eagle quarters in the sample is $\frac{4}{10}$.

Step2: Apply this proportion to the total number of quarters in the bag.

The total number of quarters in the bag is 500. To find the likely number of eagle quarters in the bag, we multiply the total number of quarters by the proportion of eagle quarters in the sample: $500\times\frac{4}{10}$.

First, simplify $\frac{4}{10}=\frac{2}{5}$. Then, $500\times\frac{2}{5} = \frac{500\times2}{5}= 200$.

Answer:

200