A mixture of two grades of sugar is made in the ratio 2:3. If the total weight o

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Question: A mixture of two grades of sugar is made in the ratio 2:3. If the total weight of the mixture is 100 kg, how much of the first grade sugar is there?

Options:

20 kg
30 kg
40 kg
50 kg

Correct Answer: 40 kg

Solution:

Total parts = 2 + 3 = 5. First grade sugar = (2/5) * 100 = 40 kg.

A mixture of two grades of sugar is made in the ratio 2:3. If the total weight o

Practice Questions

A mixture of two grades of sugar is made in the ratio 2:3. If the total weight of the mixture is 100 kg, how much of the first grade sugar is there?

20 kg
30 kg
40 kg
50 kg

Questions & Step-by-Step Solutions

A mixture of two grades of sugar is made in the ratio 2:3. If the total weight of the mixture is 100 kg, how much of the first grade sugar is there?

Step 1: Understand the ratio of the two grades of sugar, which is 2:3.
Step 2: Add the parts of the ratio together: 2 + 3 = 5 parts total.
Step 3: Determine how much one part is worth by dividing the total weight of the mixture (100 kg) by the total parts (5): 100 kg / 5 = 20 kg per part.
Step 4: Find the amount of the first grade sugar by multiplying the number of parts for the first grade (2 parts) by the weight of one part (20 kg): 2 * 20 kg = 40 kg.
Step 5: Conclude that there are 40 kg of the first grade sugar in the mixture.

Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
Basic Arithmetic – Performing calculations involving addition, multiplication, and division.

A mixture of two grades of sugar is made in the ratio 2:3. If the total weight o

What’s inside this PDF?

A mixture of two grades of sugar is made in the ratio 2:3. If the total weight o

Practice Questions

Questions & Step-by-Step Solutions

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