Answer:
36
Explanation:
Given:
1/6 of the marbles are red
1/3 of the marbles are blue
There are 18 green marbles in the jar
We can set up the following equations based on the given information:
Number of red marbles = 1/6 * x
Number of blue marbles = 1/3 * x
Number of green marbles = 18
Since the total number of marbles in the jar is "x", we can write the equation for the sum of all the marbles as:
(Number of red marbles) + (Number of blue marbles) + (Number of green marbles) = x
Substituting the values from the given information:
1/6 * x + 1/3 * x + 18 = x
Multiplying through by 6 to eliminate the fraction:
x/6 + 2x/6 + 18 = 6x/6
x + 2x + 108 = 6x
Combining like terms:
3x + 108 = 6x
Subtracting 3x from both sides of the equation:
3x + 108 - 3x = 6x - 3x
108 = 3x
Dividing both sides by 3 to solve for x:
108/3 = 3x/3
36 = x