If 15% of a mixture is sugar and the total weight of the mixture is 200 kg, how

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Question: If 15% of a mixture is sugar and the total weight of the mixture is 200 kg, how much sugar is in the mixture?

Options:

Correct Answer: 40 kg

Solution:

Sugar = 15% of 200 kg = 0.15 * 200 = 30 kg.

If 15% of a mixture is sugar and the total weight of the mixture is 200 kg, how much sugar is in the mixture?

If 15% of a mixture is sugar and the total weight of the mixture is 200 kg, how much sugar is in the mixture?

Step 1: Understand that 15% means 15 out of every 100 parts.
Step 2: Know that the total weight of the mixture is 200 kg.
Step 3: To find out how much sugar is in the mixture, we need to calculate 15% of 200 kg.
Step 4: Convert 15% to a decimal by dividing 15 by 100, which gives us 0.15.
Step 5: Multiply the decimal (0.15) by the total weight (200 kg): 0.15 * 200.
Step 6: Calculate the result: 0.15 * 200 = 30 kg.
Step 7: Conclude that there are 30 kg of sugar in the mixture.

Percentage Calculation – Understanding how to calculate a percentage of a total amount.
Unit Conversion – Applying the concept of weight in kilograms to find the quantity of a component in a mixture.