A tank holds 500 litres and is 3/5 full. If 90 litres more are added, how many more litres are still needed to fill the tank completely?
Get the complete, step-by-step math solution for: "A tank holds 500 litres and is 3/5 full. If 90 litres more are added, how many more litres are still needed to fill the tank completely?". Powered by SolveForX AI math tutor.
Step-by-Step Solution
Step 1: Calculate initial volume of water
First, we need to find out how much water is currently in the tank. The tank has a total capacity of 500 litres and is 3/5 full. So, we multiply the total capacity by the fraction of the tank that is full.
Step 2: Calculate volume after adding more water
After finding the initial volume, we are told that 90 litres more are added to the tank. So, we add this amount to the initial volume to find the new total volume of water in the tank.
Step 3: Calculate remaining capacity
To find out how many more litres are needed to fill the tank completely, we subtract the current volume of water from the total capacity of the tank. The total capacity is 500 litres.