A mixture contains two types of grains in the ratio 2:5. If the total weight of

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Question: A mixture contains two types of grains in the ratio 2:5. If the total weight of the mixture is 63 kg, how much of the first type of grain is there?

Options:

18 kg
24 kg
14 kg
21 kg

Correct Answer: 24 kg

Solution:

In a 2:5 ratio, the total parts = 2 + 5 = 7. First type of grain = (2/7) * 63 = 18 kg.

A mixture contains two types of grains in the ratio 2:5. If the total weight of

Practice Questions

A mixture contains two types of grains in the ratio 2:5. If the total weight of the mixture is 63 kg, how much of the first type of grain is there?

18 kg
24 kg
14 kg
21 kg

Questions & Step-by-Step Solutions

A mixture contains two types of grains in the ratio 2:5. If the total weight of the mixture is 63 kg, how much of the first type of grain is there?

Step 1: Understand the ratio of the two types of grains, which is 2:5.
Step 2: Add the parts of the ratio together: 2 + 5 = 7 parts in total.
Step 3: Determine how much one part is worth by dividing the total weight of the mixture (63 kg) by the total parts (7): 63 kg / 7 = 9 kg per part.
Step 4: Find the weight of the first type of grain by multiplying the number of parts for the first type (2) by the weight of one part (9 kg): 2 * 9 kg = 18 kg.
Step 5: Conclude that the weight of the first type of grain is 18 kg.

Ratio and Proportion – Understanding how to divide a total quantity based on a given ratio.
Basic Arithmetic – Performing multiplication and division to find the weight of each type of grain.

A mixture contains two types of grains in the ratio 2:5. If the total weight of

What’s inside this PDF?

A mixture contains two types of grains in the ratio 2:5. If the total weight of

Practice Questions

Questions & Step-by-Step Solutions

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