. There are 1,000 jellybeans in a large box. Bob took a scoop of jellybeans from the box. He counted 15 purple jellybeans, 20 yellow jellybeans, and 5 black jellybeans. If the scoop was a good sample of the jellybeans in the large box, how many yellow jellybeans would you expect to find in the large box? a) 125 yellow jellybeans b) 200 yellow jellybeans c) 375 yellow jellybeans d) 500 yellow jellybeans

D

Step-by-step explanation:

In this question, we are looking at quantifying what is present is a particular scoop as a pointer to what is obtainable in the large box.

Firstly, what we need to relate is that, the scoop is a representation of the distribution in the large box. Hence, having the ratio in the scoop, we can deduce what we might have in the large box.

So, firstly let us have a ratio based on the content of the scoop. In the scoop, we have a ratio of purple jellybeans to yellow jellybeans to black jellybeans. These could stand in the ratio of 15 to 20 to 5 I.e 3 to 4 to 1

Following this ratio, the expected number of yellow jellybeans would be 4/8 * 1000 = 1000/2 = 500 jellybeans