A container at Hakim's kitchen was 7/8 full of water. After removing 2 3/4 litres, the container was 5/8 full. What is the capacity of the container in litres?
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Worked Solution
Step 1: Find the fraction of capacity that was removed.
7/8 - 5/8 = 2/8 = 1/4 of the full capacity.
Step 2: Convert the mixed number.
2 3/4 = 2 + 3/4 = 11/4 litres.
Step 3: Set up and solve the equation.
1/4 x C = 11/4
C = 11/4 / (1/4) = 11/4 x 4 = 11 litres
Verify: 7/8 x 11 = 9.625 L; 5/8 x 11 = 6.875 L; difference = 2.75 = 2 3/4 Check.
Answer: Capacity = 11 litres
Correct answer: 11 litres
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