Question

. 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

Answer 1

Answer:

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

Answer 2

Answer: Option D

I would expect to find 500 jellybeans in the large box

Step-by-step explanation:

Extracting the key information from the question:-

*** There are 1,000 jellybeans in a large box.

*** A scoop of jellybeans from the box was made.

*** 15 purple, 20 yellow, and 5 black jellybeans were contained in the scoop.

*** We are required to predict the number of yellow jellybeans in the large box if the scoop was a perfect sample of the jellybeans in the box.

It is important to state that solving thissimply requires one to have a minor knowledge of the principle of ratios. According to the question, the box contains one thousand jellybeans but the sample in the scoop made by Bob contained 15 purple, 20 yellow and 5 black jellybeans. To calculate or predict the amount of yellow jellybeans that may be found in the large box, we will consider 15, 20 and 5 as the ratio between the purple, yellow and black jellybeans respectively.

It simply requires us to use the proportion of yellow jellybeans in the scoop and compare or relate it to the jellybeans in the large box and we will correctly predict the amount of yellow jellybeans that we may find in the large box.

The ratio of the jellybeans to each other:-

15purple : 20yellow: 5black

The total number of jellybeans in the large box = 1000.

The quantity of yellow jellybeans in the large box =

20/(15+20+5) × 1000

= 20/40 × 1000

= 500 jellybeans.

Therefore, the number of jellybeans that will be in the large box is 500