After 60 litres of petrol was poured into an empty storage tank, it was still 10% empty. How much petrol (in litres, rounded off to two decimal place) must be poured into the storage tank in order to fill it?
66.67
The problem involves determining the total capacity of a storage tank and the additional petrol needed to completely fill it. We start by assessing the given information and using it to solve the problem systematically.
First, define the total capacity of the storage tank as \( x \) litres. We are informed that after 60 litres are poured into the empty tank, it remains 10% empty.
This implies that 90% of the tank is filled with 60 litres of petrol. Mathematically, this is represented by:
\( 0.9x = 60 \)
Solve for \( x \) to find the tank's total capacity:
\( x = \frac{60}{0.9} \)
\( x = 66.67 \) litres
Thus, the full capacity of the tank is 66.67 litres. Since the tank currently has 60 litres, determine the additional petrol needed:
\( \text{Additional petrol needed} = x - 60 = 66.67 - 60 = 6.67 \) litres
Therefore, 66.67 litres of total petrol is required, confirming that the correct answer is 66.67 litres.
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