cracked eggs

Question

You purchased 12 dozen Eggs. You open the case 9 eggs are cracked. What percent of the eggs are cracked?

Answer 1

Percent means "per hundred."  So, the question is asking "9 is what percent of 12 dozen?"   Percents may be expressed as 75% or as 75/100 or as 0.75.  We will also use the multiplicative identity (that is, 1) to change the units without changing the value.

 

      9 eggs out of 12 dozen

      (9 eggs)/(12 dozen)

      (9 eggs) / ((12 dozen)*(12 eggs)/(1 dozen))

      (9)/(144)              [note:  all units cancel out]

      0.0625

        6.25%