In the 1990s significant numbers of tourists traveled from N

In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and South Africa. In 1998, a total of 2,231,000 of these tourists visited Australia, while 390,000 of them visited South Africa. Also, 630,000 of these tourists came from North America, and a total of 2,621,000 tourists traveled from these two regions to these two destinations. (Assume no single tourist visited both destinations or traveled from both North America and Asia.) (a) The given information is not sufficient to determine the number of tourists from each region to each destination. Why? This system has one solution. This system has no solution. This system has infinitely many solutions. This system has finite number of solutions. Correct: Your answer is correct.

(b) If you were given the additional information that a total of 1,991,000 tourists came from Asia, would you now be able to determine the number of tourists from each region to each destination? Yes No Correct: Your answer is correct. If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.) from North America to Australia tourists from North America to South Africa tourists from Asia to Australia tourists from Asia to South Africa tourists (

c) If you were given the additional information that 200,000 tourists visited South Africa from Asia, would you now be able to determine the number of tourists from each region to each destination? Yes No Correct: Your answer is correct. If so, what are these numbers? (If the given information is not sufficient, enter NONE in all answer blanks.)

from North America to Australia,

tourists from North America to South Africa,

tourists from Asia to Australia,

tourists from Asia to South Africa tourists

Solution

a) No this information is not sufficient because , it says 630,000 of thse tourists came from North America but we cannot tell where these 630,000 went ... some might have visited south africa or some might have visited australia.

b) No we would not be able to map them again because of the same reason as in part a

c) South africa from asia --- > 200,000
therefore ... remaining came from north america --- 390,000-200,000=190,000

now a total of 1,990,000 came from asia but only 200,000 visited africa therefore 1,990,000 - 200,000 = 179,000 visited australia

australia from asia -- 179,000
australia from america -- 630,000 - 179,0000 =451,000