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Question
If the thickness of a pile of 12 cardboards is 35 mm, find the thickness of a pile of 294 cardboards.
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Solution
Let x cm be the thickness of a pile of 294 cardboards.
| Thickness (in cm) | 3.5 | x |
| Cardboard | 12 | 294 |
\[\text{ Since the pile of the cardboards and its thickness are in direct variation, we have: } \]
\[\frac{3 . 5}{x} = \frac{12}{294}\]
\[ \Rightarrow 3 . 5 \times 294 = x \times 12\]
\[ \Rightarrow x = \frac{3 . 5 \times 294}{12}\]
\[ = \frac{1029}{12}\]
\[ = 85 . 75 cm\]
\[\text{ Thus, the thickness of a pile of 294 cardboards will be 85 . 75 cm (or 857 . 5 mm) } . \]
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