Ratios & Proportions: The Basic Ratio Box
Compound X contains elements A and B at an approximate ratio, by weight, of $$2{:}10$$. Approximately how many grams of element B are there in 324 grams of compound X?
Correct.
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The only real number in the question is the total 324 grams. Find the corresponding total of the Ratio column: $$2+10 = 12$$. The Total row has one number in the Ratio column (12), and another number in the Real column (324 grams). It follows that the multiplier is $$\frac{324}{12} = \color{red}{27}$$. Therefore the weight of B is $$10 \times \color{red}{27} = \color{purple}{270}$$ grams.
| | Ratio | Multiplier | Real |
|-------|-------|----------------------------------------|----------------------------------------------------------|
| A | $$2$$ | | |
| B | $$10$$ | $$\color{red}{27}$$ | $$10 \times \color{red}{27} = \color{purple}{270}$$ grams |
| Total | $$12$$ | $$\frac{324}{12}=\color{red}{27}$$ | $$324$$ grams |
Incorrect.
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You may have gotten this answer if you found the volume of element A, not the volume of element B.
Incorrect.
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Incorrect.
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Incorrect.
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54
162
250
270
322
