If a chemical mixture requires a ratio of 4 parts A, 6 parts B, and 2 parts C for a 15 kg batch, what is the quantity of A needed?

If a chemical mixture requires a ratio of 4 parts A, 6 parts B, and 2 parts C for a 15 kg batch, what is the quantity of A needed?

• A. A = 5, B = 7.5, and C = 2.5
• B. A = 4, B = 6, and C = 5
• C. A = 5, B = 6, and C = 4
• D. A = 4.5, B = 6.5, and C = 4

Answer: (A)

To determine the quantity of each component (A, B, and C) needed in a 15 kg batch based on the ratio provided, we first need to understand the total parts in the ratio. The ratio of 4 parts A, 6 parts B, and 2 parts C sums up to a total of 12 parts (4 + 6 + 2 = 12). Next, to find out how much each part represents in the total weight of 15 kg, we divide the total weight by the total number of parts: 15 kg / 12 parts = 1.25 kg per part. Now, we can multiply the number of parts for each component by the weight per part: - For A: 4 parts * 1.25 kg/part = 5 kg - For B: 6 parts * 1.25 kg/part = 7.5 kg - For C: 2 parts * 1.25 kg/part = 2.5 kg This calculation confirms that the quantity of A needed is indeed 5 kg, with corresponding quantities for B and C as 7.5 kg and 2.5 kg respectively. Thus, the option that

To determine the quantity of each component (A, B, and C) needed in a 15 kg batch based on the ratio provided, we first need to understand the total parts in the ratio. The ratio of 4 parts A, 6 parts B, and 2 parts C sums up to a total of 12 parts (4 + 6 + 2 = 12).

Next, to find out how much each part represents in the total weight of 15 kg, we divide the total weight by the total number of parts:

15 kg / 12 parts = 1.25 kg per part.

Now, we can multiply the number of parts for each component by the weight per part:

• For A: 4 parts * 1.25 kg/part = 5 kg

• For B: 6 parts * 1.25 kg/part = 7.5 kg

• For C: 2 parts * 1.25 kg/part = 2.5 kg

This calculation confirms that the quantity of A needed is indeed 5 kg, with corresponding quantities for B and C as 7.5 kg and 2.5 kg respectively.

Thus, the option that