A medication contains 9 mg of active ingredients for every 1 mg of inert ingredients. How much o

Name: Problem 30, Chapter 2: Beginning Algebra
Uploaded: 2020-06-20T17:14:22-08:00
Duration: 4 min 17 s
Channel: Nichola Wallace
Description: A medication contains 9 mg of active ingredients for every 1 mg of inert ingredients. How much of each kind of ingredient would be contained in a single 250 -mg caplet?

step 1 So the active ingredients plus the inert ingredients equals the total ingredients. What was give

Question

A medication contains $9 \mathrm{mg}$ of active ingredients for every $1 \mathrm{mg}$ of inert ingredients. How much of each kind of ingredient would be contained in a single 250 -mg caplet?

   A medication contains $9 \mathrm{mg}$ of active ingredients for every $1 \mathrm{mg}$ of inert ingredients. How much of each kind of ingredient would be contained in a single 250 -mg caplet?

Beginning Algebra

Margaret L. Lial,… 11th Edition

Chapter 2, Problem 30

Instant Answer

Solved by Expert Nichola Wallace

06/20/2020

Step 1

This gives us a ratio of active to inert ingredients of 9:1. Show more…

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A medication contains $9 \mathrm{mg}$ of active ingredients for every $1 \mathrm{mg}$ of inert ingredients. How much of each kind of ingredient would be contained in a single 250 -mg caplet?

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Key Concepts

Proportion

A proportion is an equation that establishes the equality of two ratios. This concept is essential in scaling a known ratio to a total amount, helping to determine the exact quantities of each component in mixture and distribution problems.

Systems of Linear Equations

Systems of linear equations involve multiple equations with common variables that must be solved simultaneously. This method is crucial in solving mixture problems where the sum of the parts must equal a specified total while satisfying the given ratio or relationship between the parts.

Ratio

A ratio represents the relationship between two quantities showing how many times one value is contained within the other. It is a fundamental concept in comparing parts of a whole and is widely used in mixture problems to specify the relationship between different components.

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