A mixture contains 40% sugar and 60% water. If 50 liters of the mixture is taken

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Question: A mixture contains 40% sugar and 60% water. If 50 liters of the mixture is taken out, how much sugar is left in the remaining mixture?

Options:

Correct Answer: 30 liters

Solution:

In 50 liters, there is 20 liters of sugar. The remaining mixture is 150 liters, which contains 60 liters of sugar (40% of 150).

A mixture contains 40% sugar and 60% water. If 50 liters of the mixture is taken out, how much sugar is left in the remaining mixture?

A mixture contains 40% sugar and 60% water. If 50 liters of the mixture is taken out, how much sugar is left in the remaining mixture?

Step 1: Understand that the mixture is made up of 40% sugar and 60% water.
Step 2: Calculate how much sugar is in the 50 liters of the mixture. Since it is 40% sugar, multiply 50 liters by 0.40.
Step 3: 50 liters * 0.40 = 20 liters of sugar in the 50 liters taken out.
Step 4: Determine the total amount of the mixture before taking any out. The remaining mixture is 200 liters (250 liters - 50 liters).
Step 5: Calculate how much sugar is in the remaining 200 liters. Since it is still 40% sugar, multiply 200 liters by 0.40.
Step 6: 200 liters * 0.40 = 80 liters of sugar in the remaining mixture.

Percentage Calculation – Understanding how to calculate the amount of a component in a mixture based on its percentage.
Mixture Volume Adjustment – Recognizing how the total volume of a mixture changes when a portion is removed.