Ratios & Proportions: The Basic Ratio Box
The ratio, by volume, of two pyramids is 7:16. If the volume of the bigger pyramid is 27,000 cubic meters larger than the volume of the other, what is the volume of the larger pyramid in cubic meters?
Incorrect.
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Incorrect.
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Incorrect.
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You might have gotten this answer if you found the volume of the smaller pyramid.
Incorrect.
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Correct.
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The real quantity in the question is the difference between the volumes of the pyramids. Add a row for the difference in the Ratio Box.
Now, how are you going to fill the Ratio column? Insert the 7 and the 16 from the ratio in the two rows. The ratio units for the difference is $$16-7=\color{green}{9}$$.
It follows that the multiplier is $$\frac{27{,}000}{\color{green}{9}}=\color{red}{3{,}000}$$, and the real total is $$16 \times \color{red}{3{,}000}=\color{purple}{48{,}000}$$.
| | Ratio | Multiplier | Real |
|------------|-------|---------------------------------------------|------------------------------------------------------------|
| Big | $$16$$ | $$\color{red}{3{,}000}$$ | $$16 \times \color{red}{3{,}000} = \color{purple}{48{,}000}$$ |
| Small | $$7$$ | | |
| Difference | $$\color{green}{9}$$ | $$\color{red}{3{,}000}$$ | $$27{,}000$$ |
15,040
16,000
21,000
30,000
48,000
