A lorry tank was 4/5 full of petrol when the guage indicated 12 litres.what was the full capacity of the tank in litres
(4/5)x = 12
Solve for x
To find the full capacity of the tank in liters, we need to determine the capacity of the tank when it is 4/5 full.
If the tank is 4/5 full when the gauge indicates 12 liters, it means that 12 liters is equal to 4/5 of the tank's capacity.
We can set up a proportion to find the tank's capacity:
(12 liters) / (4/5) = (x liters) / 1
To solve the proportion, we can cross multiply:
12 liters * 1 = (4/5) * x liters
12 = (4/5) * x
To isolate x, we need to divide both sides of the equation by (4/5):
12 / (4/5) = x
To divide by a fraction, we can multiply by its reciprocal:
12 * (5/4) = x
Simplifying the expression on the right side:
60/4 = x
Now, divide 60 by 4:
x = 15
Therefore, the full capacity of the tank is 15 liters.