Significant numbers of tourists traveled from North America and Asia to Australia and South Africa. In any year a total of 2,223,240 of these tourists visited Australia, and 393,860 of them visited South Africa. Also, 639,210 of these tourists came from North America, and a total of 2,617,100 tourists traveled from these two regions to these two destinations. (Assume that no single tourist visited both destinations or traveled from both North America and Asia.) The given information is not sufficient to determine the number of tourists from each region to each destination. If you were given the additional information that 190,000 tourists visited South Africa from Asia, would you now be able to determine the number of tourists from each region to each destination If so, what are these numbers ?
A)from North America to Australia: 435,390 from Asia to Australia: 1,787,850
From North America to South Africa: 203,820
From Asia to South Africa: 190,040
B) from North America to Australia: 203,860
From Asia to Australia: 435,350
From North America to South Africa: 190,000
From Asia to South Africa: 1,787,890
C) from North America to Australia: 435,350
From Asia to Australia: 1,787,890
From North America to South Africa: 203,860
From Asia to South Africa: 190,000
D) from North America to Australia: 203,820
From Asia to Australia: 435,390
From North America to South Africa: 190,040
From Asia to South Africa: 1,787,850
E) This information is still not sufficient to determine the number of tourists from each region to each destination.

Question

Significant numbers of tourists traveled from North America and Asia to Australia and South Africa. In any year a total of 2,223,240 of these tourists visited Australia, and 393,860 of them visited South Africa. Also, 639,210 of these tourists came from North America, and a total of 2,617,100 tourists traveled from these two regions to these two destinations. (Assume that no single tourist visited both destinations or traveled from both North America and Asia.) The given information is not sufficient to determine the number of tourists from each region to each destination. If you were given the additional information that 190,000 tourists visited South Africa from Asia, would you now be able to determine the number of tourists from each region to each destination  If so, what are these numbers  ?
A)from North America to Australia: 435,390 from Asia to Australia: 1,787,850
From North America to South Africa: 203,820
From Asia to South Africa: 190,040
B) from North America to Australia: 203,860
From Asia to Australia: 435,350
From North America to South Africa: 190,000
From Asia to South Africa: 1,787,890
C) from North America to Australia: 435,350
From Asia to Australia: 1,787,890
From North America to South Africa: 203,860
From Asia to South Africa: 190,000
D) from North America to Australia: 203,820
From Asia to Australia: 435,390
From North America to South Africa: 190,040
From Asia to South Africa: 1,787,850
E) This information is still not sufficient to determine the number of tourists from each region to each destination.

Quizplus · Accepted Answer

We can solve for the number of tourists from each region to each destination by setting up a system of equations:

Let x be the number of tourists from North America to Australia.
Let y be the number of tourists from Asia to Australia.
Let z be the number of tourists from North America to South Africa.

From the given information, we have:

x + y = 2,617,100 (total number of tourists from North America and Asia to Australia and South Africa)
y + 190,000 = 393,860 (total number of tourists from Asia to South Africa)
x + z = 2,223,240 (total number of tourists from North America to Australia)

Solving this system of equations, we get:

x = 435,350
y = 1,787,890
z = 203,860

Therefore, the number of tourists from North America to Australia is 435,350, the number of tourists from Asia to Australia is 1,787,890, the number of tourists from North America to South Africa is 203,860, and the number of tourists from Asia to South Africa is 190,000. Choice C gives us these numbers.

Significant Numbers of Tourists Traveled from North America and Asia