Math Problem Statement

After 5060 liters of petrol were poured into the tank, it was still 12% empty. What is the total capacity of the tank? (In liters)

Solution

The problem in the image states:

"After 5060 liters of petrol were poured into the tank, it was still 12% empty. What is the total capacity of the tank?"

Let's solve it step by step:

  1. Let the total capacity of the tank be CC liters.
  2. The problem states that after pouring 5060 liters, the tank is still 12% empty, meaning it is 88% full (since 100% - 12% = 88%).

So, we can set up the equation:

5060=88% of C=0.88×C5060 = 88\% \text{ of } C = 0.88 \times C

To find CC, divide both sides of the equation by 0.88:

C=50600.88=5750litersC = \frac{5060}{0.88} = 5750 \, \text{liters}

Thus, the total capacity of the tank is 5750 liters.

Would you like more details or have any questions?

Here are five related questions to explore:

  1. How would the problem change if the tank were 15% empty instead?
  2. What is the percentage of the tank filled if 4500 liters are poured in instead of 5060 liters?
  3. How much fuel would be needed to completely fill the tank after pouring 3000 liters?
  4. If 5750 liters were the maximum capacity, how would the result change if 95% of the tank were full?
  5. What would the capacity be if the tank were 10% empty instead of 12%?

Tip: Understanding percentages in word problems helps break them down easily into equations for solving.

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Math Problem Analysis

Mathematical Concepts

Percentage Calculation
Basic Algebra

Formulas

Capacity = Amount Filled / Percentage Filled

Theorems

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Suitable Grade Level

Grades 6-8