A tank is 3/5 full of water. After 2 2/3 litres are added, the tank is 4/5 full. What is the capacity of the tank in litres?
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Worked Solution
Step 1: Find the fraction of the tank that the added water represents.
4/5 - 3/5 = 1/5
So 2 2/3 litres fills 1/5 of the tank.
Step 2: Convert the mixed number to an improper fraction.
2 2/3 = 8/3 litres
Step 3: Find the full capacity.
1/5 x C = 8/3
C = 8/3 x 5 = 40/3 = 13 1/3 litres
Verification: 3/5 x 40/3 = 120/15 = 8 litres already in tank. 4/5 x 40/3 = 160/15 = 32/3 litres when full. Difference = 32/3 - 8 = 32/3 - 24/3 = 8/3 = 2 2/3 litres added. Check.
Correct answer: 13 1/3 litres
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