A good oiled furniture finish contains two parts boiled linseed oil and one part turpentine. If you need a pint (16 fluid ounces) of this furniture finish, how many fluid ounces of... A good oiled furniture finish contains two parts boiled linseed oil and one part turpentine. If you need a pint (16 fluid ounces) of this furniture finish, how many fluid ounces of turpentine are needed?
Understand the Problem
The question is asking how many fluid ounces of turpentine are needed to create a pint (16 fluid ounces) of a furniture finish that consists of two parts boiled linseed oil and one part turpentine. To solve this, we need to determine the total parts of the mixture and the proportion dedicated to turpentine.
Answer
The amount of turpentine needed is \( \frac{16}{3} \) fluid ounces.
Answer for screen readers
The amount of turpentine needed is ( \frac{16}{3} ) fluid ounces.
Steps to Solve
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Identify the total parts of the mixture
The furniture finish is made of 2 parts boiled linseed oil and 1 part turpentine. Thus, the total parts of the mixture are:
$$ 2 \text{ (linseed oil)} + 1 \text{ (turpentine)} = 3 \text{ parts} $$ -
Determine the proportion of turpentine
Calculate the fraction of the mixture that is turpentine:
$$ \text{Proportion of turpentine} = \frac{1 \text{ (part of turpentine)}}{3 \text{ (total parts)}} = \frac{1}{3} $$ -
Calculate the amount of turpentine needed
To find the fluid ounces of turpentine needed for a pint (16 fluid ounces), multiply the total volume by the proportion of turpentine:
$$ \text{Turpentine needed} = 16 \text{ (fluid ounces)} \times \frac{1}{3} = \frac{16}{3} \text{ fluid ounces} $$ -
Simplify the calculation
Calculate the final answer:
$$ \frac{16}{3} \text{ fluid ounces} \approx 5.33 \text{ fluid ounces} $$
The amount of turpentine needed is ( \frac{16}{3} ) fluid ounces.
More Information
This calculation is useful for creating mixtures in furniture finishing, ensuring that the correct proportion of components are used for optimal results. Understanding ratios can help in various applications in cooking, chemistry, and other DIY projects.
Tips
- Not converting units properly: Ensure you always use the same unit when calculating volumes.
- Misunderstanding the ratio: Remember that part ratios do not change when scaling up or down the mixture.
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