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
