How Do You Solve Complex Ratio Problems in Chemistry?

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To solve complex ratio problems in chemistry, it's essential to understand the relationships between the components involved. In the first problem, A is 3/8 of the total compound, leaving 5/8 for B and C, which are in a 1:2 ratio. This means B and C must be calculated based on their combined fraction of 5/8, where B is 1/3 of that and C is 2/3. The second problem involves ratios A:B=1:7 and B:C=13:9, which require finding a common variable to express all components in a unified ratio. Properly setting up these relationships is crucial for determining the correct proportions of A, B, and C.
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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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