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A mixture of two types of nuts costs $12 per kg. If one type costs $10 per kg an

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Question: A mixture of two types of nuts costs $12 per kg. If one type costs $10 per kg and the other type costs $16 per kg, what is the ratio of the two types in the mixture?

Options:

  1. 1:2
  2. 2:1
  3. 3:1
  4. 1:3

Correct Answer: 2:1

Solution: 

Let the ratio be x:y. Then, (10x + 16y)/(x + y) = 12. Solving gives x:y = 2:1.

A mixture of two types of nuts costs $12 per kg. If one type costs $10 per kg an

Practice Questions

Q1
A mixture of two types of nuts costs $12 per kg. If one type costs $10 per kg and the other type costs $16 per kg, what is the ratio of the two types in the mixture?
  1. 1:2
  2. 2:1
  3. 3:1
  4. 1:3

Questions & Step-by-Step Solutions

A mixture of two types of nuts costs $12 per kg. If one type costs $10 per kg and the other type costs $16 per kg, what is the ratio of the two types in the mixture?
  • Weighted Average – Understanding how to calculate the average cost of a mixture based on the costs and proportions of its components.
  • Algebraic Manipulation – Using algebra to set up and solve equations based on given conditions.
  • Ratio and Proportion – Determining the ratio of two quantities based on their relationship in a mixture.
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