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Difficulty: MediumDecimal Operations

An industrial pump dispenses 3.453.45 liters of a chemical per cycle. A tank initially contains 150.8150.8 liters of the chemical. If the pump runs for 1414 cycles to remove the chemical from the tank, and then a technician manually adds 5.255.25 liters back into the tank, how many liters of chemical remain in the tank?

Answer: 107.75 liters

Answer

107.75
The final volume is accurately found by multiplying the removal rate by the number of cycles to determine the total removed amount, subtracting that from the initial volume, and finally adding the manually returned amount while maintaining proper decimal alignment.

Step-by-Step Solution

1
Calculate the total volume of chemical removed by the pump.
14×3.45=48.314 \times 3.45 = 48.3
The pump runs for 14 cycles, removing 3.45 liters each time, so multiplication is required to find the total removal.
2
Subtract the removed volume from the initial tank volume.
150.8−48.3=102.5150.8 - 48.3 = 102.5
Removing the chemical decreases the total volume available in the tank.
3
Add the volume of the chemical manually poured back into the tank.
102.5+5.25=107.75102.5 + 5.25 = 107.75
Adding chemical increases the total volume to its final amount.

Key Concept

Solving multi-step practical problems involving the multiplication, subtraction, and addition of decimals.
Estimated Time:1m 0s
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Topics

Decimal Operations

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