How Do You Solve Complex Ratio Problems in Chemistry?

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Homework Help Overview

The discussion revolves around solving complex ratio problems in chemistry, specifically focusing on determining the ratios of components A, B, and C based on given properties and relationships. The context includes two specific problems involving the ratios of these components.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore how to derive the ratios of A, B, and C from the given information, questioning how the components relate to each other based on the provided ratios and fractions.

Discussion Status

Some participants are attempting to clarify the relationships between A, B, and C, while others are questioning the initial assumptions and calculations regarding the total proportions. There is an ongoing exploration of how to correctly interpret the ratios and apply them to the problem.

Contextual Notes

Participants are grappling with the implications of the ratios and the total proportions of the components, particularly how they sum up to the whole compound. There is a focus on ensuring that the assigned values for B and C align with the total fraction available after accounting for A.

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Homework Statement




In each of the following the properties of a compound are given. In each case find A:B:C

1. 3/8 of A with B and C 1:2

2. A, B, C are mixed according to the ratios A:B=1:7 and B:C=13:9

Homework Equations





The Attempt at a Solution



I just can't seem to solve these two. I got no idea where to even start. Please help.
 
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I'll help but show an attempt.
 
Last edited:
1. You know A is 3/8 of the compound, so how much is left over for B and C?
 
daveb said:
1. You know A is 3/8 of the compound, so how much is left over for B and C?

So that leaves 5/8 of B and C which are in the ratio 1:2.

Would then be:

3/8 of A, 5/8 of B and [ 5/8]/2 of C

?
 
roger12 said:
Would then be:

3/8 of A, 5/8 of B and [ 5/8]/2 of C

?

Not in the way I'm reading your problem. Does the numbers you have "assigned" for B and C, added together, give you 5/8? It does not.

If you have, say, X and Y in a ratio of 1:2, that means that X has to be 1/3 of the whole, while Y is 2/3 of the whole. Use this hint to figure out what fractions go with B and C if together they are 5/8 (of the compound).
 

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