Question

there are 78.1 grams of carbon in a sample of 92.7 grams of octane. what is the percent of carbon within the sample of octane?

Answer 1

The percent  of carbon within the sample of octane is 84.25%

A percentage is a fraction of a total amount divided into hundred parts

The percent  of carbon within the sample of octane = (grams of carbon / grams of octane) x 100

(78.1 g / 92.7 g) x 100 = 84.25%

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Answer 2

The percent of carbon within the sample of octane in the exercise is:

• 84.25%

Calculation of percentages using the rule of three.

To make a calculation of the percentage of a sample, a simple rule of three can be used, where it is identified:  

• 92.7 g     →      100%
• 78.1 g      →        x

The octane sample is used as 100% since it is the total sample, while carbon is only a part of it, now we proceed to calculate:

• $x=\frac{78.1*100}{92.7}$
• $x=\frac{7810}{92.7}$
• x = 84.25026969
• x ≅ 84.25%

In this way, it can be identified that the percentage of carbon in the octane sample is approximately 84.25%.

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