Amarble weighs 9 grams. a bag of marbles weighs 594 grams. if the bag has an equal number of red and green marbles, how many red marbles are in the bag? a)28
b) 33
c)56
d)66

Number of red marbles  = 33

Step-by-step explanation:

Weight of a marble  = 9 grams

Weight of bag of marbles = 594 grams

To find : Number of red marbles in a bag

Given that the bag has an equal number of red and green marbles, so

let number of red marbles = number of green marbles = x

Now, number of marbles in a bag = Weight of bag of marbles / Weight of a marble = 594 / 9 = 66

According to question ,

x + x = 66

2 x = 66

x =

So, number of red marbles = x = 33

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:

answer: -8.2562234e+13