What is the total amount of mixture if the parts of A, B, and C are 4, 6, and 2 respectively, in a total 15 kg batch?

What is the total amount of mixture if the parts of A, B, and C are 4, 6, and 2 respectively, in a total 15 kg batch?

• A. 12 kg
• B. 15 kg
• C. 10 kg
• D. 18 kg

Answer: (B)

In this scenario, the amounts of substances A, B, and C are represented in a ratio of 4:6:2. To determine the total amount of the mixture, you first need to add together the parts of A, B, and C. Adding these parts gives you: 4 (parts of A) + 6 (parts of B) + 2 (parts of C) = 12 parts total. Next, we know that this total of 12 parts corresponds to the total weight of the mixture, which is specified as a 15 kg batch. To find out how much each part weighs, divide the total weight by the total parts: 15 kg ÷ 12 parts = 1.25 kg per part. Then, you can check the actual weights of A, B, and C to ensure they sum up to 15 kg: - Weight of A = 4 parts × 1.25 kg/part = 5 kg - Weight of B = 6 parts × 1.25 kg/part = 7.5 kg - Weight of C = 2 parts × 1.25 kg/part = 2.5 kg Adding these weights together gives you:

In this scenario, the amounts of substances A, B, and C are represented in a ratio of 4:6:2. To determine the total amount of the mixture, you first need to add together the parts of A, B, and C.

Adding these parts gives you:

4 (parts of A) + 6 (parts of B) + 2 (parts of C) = 12 parts total.

Next, we know that this total of 12 parts corresponds to the total weight of the mixture, which is specified as a 15 kg batch. To find out how much each part weighs, divide the total weight by the total parts:

15 kg ÷ 12 parts = 1.25 kg per part.

Then, you can check the actual weights of A, B, and C to ensure they sum up to 15 kg:

• Weight of A = 4 parts × 1.25 kg/part = 5 kg

• Weight of B = 6 parts × 1.25 kg/part = 7.5 kg

• Weight of C = 2 parts × 1.25 kg/part = 2.5 kg

Adding these weights together gives you: