In a particular year, a total of 63,172 students studied in two of the most popular host countries when traveling abroad. If 7306
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.
first, name your variables
x = # of students in 1st country
y = # of students in 2nd country
then create a system of equations
x + y = 63,172
x = y + 7306
Now solve the equations by substituting the x value in the first equation.
You should get 35239 people in the first country (x) and 27933 in the second country (y)
To solve this problem, let's assign variables to the unknown quantities. Let's say the number of students studying in the second most popular host country is x, and the number of students studying in the most popular host country is x + 7306.
Now we can set up an equation based on the information given. The sum of the number of students studying in the two countries is 63,172, so we can write the equation:
x + (x + 7306) = 63,172
Now we can solve this equation to find the value of x.
Combining like terms, we get:
2x + 7306 = 63,172
Subtracting 7306 from both sides of the equation:
2x = 55,866
Dividing both sides of the equation by 2:
x = 27,933
So, the number of students studying in the second most popular host country is 27,933, and the number of students studying in the most popular host country is 27,933 + 7306 = 35,239.
Therefore, 27,933 students studied abroad in the second most popular host country, and 35,239 students studied abroad in the most popular host country.