James bought 22 candy bars for $137. If the king size candy bars cost $8 and a regular size candy bar cost $5 , how many of each candy bar did he buy? One equation looks like: x + y= 22 Find the other equation and solve the system.

Given:

James bought 22 candy bars for $137.

If the king size candy bars cost $8 and a regular size candy bar cost $5.

To find:

The system of equation and solution of it.

Solution:

Let x be the number of king size candy and y be the number of regular size candy.

Quantity:           ...(i)

Cost :        ...(ii)

Multiply the equation (i) by 5.

          ...(iii)

Subtract (iii) from (ii).

Put x=9 in (i).

Therefore, number of king size candy is 9 and number of regular size candy  is 13.

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:

the answer is 1/4

step-by-step explanation: