Question

Most of the state names in the United States end in a vowel. Of the 50 states, 25 of the state names end in either an a or an e and 6 end in either an i or an o. If none of the state names end in a u, what is the fraction of state names that end in a vowel?

Options:
A) 31/50
B) 3/25
C) 1/2
D) 19/50

Answer 1

The fraction of state names that end in a vowel is 31/50.

Step-by-step explanation:

To find the fraction of state names that end in a vowel, we need to add the number of states that end in 'a' or 'e' and the number of states that end in 'i' or 'o'. There are 25 states that end in either 'a' or 'e' and 6 states that end in either 'i' or 'o'. So the total number of states that end in a vowel is 25 + 6 = 31. Since there are 50 states in total, the fraction of state names that end in a vowel is 31/50.