A sugar jar is filled full with sugar weighs 30 lbs. It wieghs 9 lbs when the jar is one fourth filled with sugar. What is the of the empty sugar jar.

4 * 9 = 36

36 - 30 = ?

Let's assume the weight of the empty sugar jar is "X" lbs.

According to the information provided, the sugar jar weighs 30 lbs when it is full and 9 lbs when it is one-fourth filled.

Let's calculate the weight of the sugar in the jar when it is one-fourth filled:
Weight of sugar = Total weight of the jar - Weight of the jar when it is one-fourth filled
Weight of sugar = 30 lbs - 9 lbs = 21 lbs

Since the jar is one-fourth filled with sugar, the weight of the sugar in the jar is 21 lbs.

Now, let's calculate the weight of the empty jar:
Weight of the empty jar = Total weight of the jar - Weight of the sugar in the jar
Weight of the empty jar = 30 lbs - 21 lbs = 9 lbs

Therefore, the weight of the empty sugar jar is 9 lbs.

To solve this problem, we need to use some math and algebra. Let's denote the weight of the empty sugar jar as "x" pounds.

Given that the full sugar jar weighs 30 pounds, we have:
Weight of the filled jar = Weight of the empty jar + Weight of the sugar.
30 lbs = x lbs + Weight of the sugar. ---(Equation 1)

We are also given that the jar weighs 9 pounds when it is one-fourth filled with sugar. This means that the weight of the sugar in the jar is (1 - 1/4) = 3/4 of the total weight of the jar (since 1/4 is empty).
Weight of the sugar = (3/4) * 9 lbs.
Weight of the sugar = 27/4 lbs.

Now, we can substitute this value into equation 1 to solve for x:
30 lbs = x lbs + 27/4 lbs.

To simplify the equation, let's convert all the quantities to have the same denominator:
120/4 lbs = (4x + 27)/4 lbs.

By canceling out the denominators, we have:
120 lbs = 4x + 27.

Next, we isolate "x" by subtracting 27 from both sides of the equation:
120 lbs - 27 lbs = 4x.
93 lbs = 4x.

Finally, divide both sides by 4 to solve for x:
x = 93 lbs / 4.
x = 23.25 lbs.

Therefore, the weight of the empty sugar jar is 23.25 pounds.