Question

A farmer examines a sample of 25 cartons of eggs and finds that 3 contains cracked eggs. What is the best prediction of the number of cartons with cracked eggs in a delivery of 500 cartons? A) 6 B) 12 C) 60 D) 120

Answer 1

I believe it's C) 60 because ideally it would be 3 for every 25, 20 x 25 = 200, so then you would do 3 x 20 = 60

Answer 2

Answer:

Number of cartons out of 25 which contains cracked eggs = 3 cartons

If number of cartons is 1 , then number of cartons containing cracked eggs  is

$=\frac{3}{25}$

               -------------------------------------(1)

So, if number of cartons is 500, then number of cartons containing cracked eggs be x.

So, If number of cartons is 1 , then number of cracked cartons is

$=\frac{x}{500}$

                           -----------------------------------(2)

Equating (1) and (2)

$\frac{x}{500}=\frac{3}{25}\\\\25 x=500 \times 3\\\\ x=\frac{1500}{25}\\\\x=60$

Option C: 60 , is number of cracked cartons, if number of  cartons with cracked eggs in a delivery of 500 cartons.