A mixture of 80 liters contains 40% oil. If 10 liters of the mixture is removed,

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Question: A mixture of 80 liters contains 40% oil. If 10 liters of the mixture is removed, how much oil is left?

Options:

Correct Answer: 32 liters

Solution:

Initial oil = 40% of 80 = 32 liters. Oil in 10 liters removed = 40% of 10 = 4 liters. Remaining oil = 32 - 4 = 28 liters.

A mixture of 80 liters contains 40% oil. If 10 liters of the mixture is removed, how much oil is left?

A mixture of 80 liters contains 40% oil. If 10 liters of the mixture is removed, how much oil is left?

Step 1: Calculate the amount of oil in the initial mixture. Since the mixture is 80 liters and contains 40% oil, multiply 80 by 0.40 to find the amount of oil.
Step 2: Perform the calculation: 80 liters * 0.40 = 32 liters of oil in the mixture.
Step 3: Determine how much oil is in the 10 liters of the mixture that is removed. Since the mixture is still 40% oil, multiply 10 by 0.40.
Step 4: Perform the calculation: 10 liters * 0.40 = 4 liters of oil in the 10 liters removed.
Step 5: Subtract the amount of oil removed from the initial amount of oil. Take the 32 liters of oil and subtract the 4 liters removed.
Step 6: Perform the calculation: 32 liters - 4 liters = 28 liters of oil remaining.

Percentage Calculation – Understanding how to calculate a percentage of a total quantity.
Mixture and Removal – Calculating the effect of removing a portion of a mixture on the total composition.