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:
- Let the total capacity of the tank be liters.
- 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:
To find , divide both sides of the equation by 0.88:
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:
- How would the problem change if the tank were 15% empty instead?
- What is the percentage of the tank filled if 4500 liters are poured in instead of 5060 liters?
- How much fuel would be needed to completely fill the tank after pouring 3000 liters?
- If 5750 liters were the maximum capacity, how would the result change if 95% of the tank were full?
- 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