In a particular year, a total of 44,456 students studied in two of the most popular host countries when traveling abroad. If 8368
more students studied in the most popular host country than in the second most popular host country, find how many students studied abroad in each country.
system of equations
x = # of ppl in 1st country
y = # of ppl in 2nd country
x + y = 44456
x = 8368 + y
should be 26412 and 18044
2x + 8368 = 44,456
Solve for x to find the number in the second most popular country.
To find out how many students studied abroad in each country, we can set up a system of equations based on the information given.
Let's call the number of students in the second most popular host country as x.
Therefore, the number of students in the most popular host country would be x + 8368 (8368 more than the second most popular country).
According to the information given, the total number of students studying abroad is 44,456.
So, we can formulate the equation:
x + (x + 8368) = 44456
Simplifying the equation:
2x + 8368 = 44456
Subtracting 8368 from both sides:
2x = 36088
Dividing both sides by 2:
x = 18044
So, the number of students in the second most popular host country is 18,044.
And the number of students in the most popular host country would be x + 8368 = 18044 + 8368 = 26412.
Therefore, 18,044 students studied abroad in the second most popular host country, and 26,412 students studied abroad in the most popular host country.