A mixture of two alloys A and B is made in the ratio 5:3. If the total weight of

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Question: A mixture of two alloys A and B is made in the ratio 5:3. If the total weight of the mixture is 64 kg, how much does alloy A weigh?

Options:

Correct Answer: 30 kg

Solution:

Total parts = 5 + 3 = 8. Weight of A = (5/8) * 64 = 40 kg.

A mixture of two alloys A and B is made in the ratio 5:3. If the total weight of the mixture is 64 kg, how much does alloy A weigh?

A mixture of two alloys A and B is made in the ratio 5:3. If the total weight of the mixture is 64 kg, how much does alloy A weigh?

Step 1: Understand that the mixture of alloys A and B is in the ratio of 5:3.
Step 2: Add the parts of the ratio together: 5 (for A) + 3 (for B) = 8 parts total.
Step 3: Find out how much one part weighs by dividing the total weight of the mixture (64 kg) by the total parts (8): 64 kg / 8 = 8 kg per part.
Step 4: Calculate the weight of alloy A by multiplying the number of parts for A (5) by the weight of one part (8 kg): 5 * 8 kg = 40 kg.
Step 5: Conclude that the weight of alloy A is 40 kg.

Ratio and Proportion – Understanding how to divide a total quantity based on given ratios.
Weight Calculation – Calculating the weight of a component in a mixture based on its proportion.