An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?

9514 1404 393

  189

Step-by-step explanation:

The difference between the ratio units is 8 -1 = 7.

The difference between child and adult ticket sales was 147 tickets, so each ratio unit stands for 147/7 = 21 tickets.

The total of the ratio units is 8+1 = 9, so 9 × 21 = 189 tickets were sold on Saturday.

__

That was 168 child tickets and 21 adult tickets.

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: