Suppose 28% of vehicles on US roads are trucks,

Question

70% are either a truck or are US made, and 54% are US made. What percentage are U.S. made trucks?

Answer 1

Let M = USA Made and T = trucks.  Givens:

     n(T) = 0.28

     n(M) = 0.54

     n(T U M) = 0.70

 

     n(T U M) = n(T) + n(M) - n(T ∩ M)

     0.7 = 0.28 + 0.54 - n(T ∩ M)

     0.7 = 0.82 - n(T ∩ M)

     0.12 = n(T ∩ M)

 

12% are trucks made in the USA

Answer 2

70% - 54% = ?