Question

Forty-five states in a country have four-star hotels. Assume the country has 50 states. (A)what fraction of the states can claim at least one four-star hotel?(B) how many states do not have a four-star hotel? (C) write the fraction of states without a four-star hotel.

Answer 1

Answer:

  (A)  9/10

  (B)  5

  (C)  1/10

Step-by-step explanation:

(A) The fraction of states with a 4-star hotel is ...

  (number of states with a 4-star hotel)/(total number of states)

  = 45/50 = 9/10

(B) The number of states without a 4-star hotel is the number remaining after states with a 4-star hotel are removed from the list of all states.

  states without 4-star hotel = (total number of states) - (number of states with a 4-star hotel)

  = 50 -45 = 5

(C) The fraction of states without a 4-star hotel can be found 2 ways:

1. in the same way as the fraction of states with a 4-star hotel: 5/50 = 1/10
2. by subtracting the fraction with a 4-star hotel from 1: 1 - 9/10 = 1/10