The recent award−winning movie“PARASITE”has collected 3,50,000$ in USA and Korea together in its first week of release. In U. S.A each ticket costs 15$ and in Korea each ticket costs 20$,there are total 20,000 tickets sold together in both the countries. Find how many tickets have been sold in each of the countries. Show all your working.

U.S. : 10,000 tickets

Korea: 10,000 tickets

Step-by-step explanation:

1. Set 15x + 20y = 350,000 and x + y = 20,000

2. x + y = 20,000 ---> y = 20,000 - x

3. Plug in y into the 20y ---> 15x + 20(20,000 - x) = 350,000

4. 15x + 400,000 -20x = 350,000

5. -5x = -50,000

6. x = 10,000

7. Plus in x in y = 20,000 -x ---> y = 20,000 - 10,000

8. y = 10,000

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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step-by-step explanation: