In a dinner, $27 %$ $27%$ people chose salad. If $81$ $81$ persons chose salad, how many people were there?

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In a dinner, $27 %$ $27%$ people chose salad. If $81$ $81$ persons chose salad, how many people were there?

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Answer 1 · 2016-12-14T03:32:41

300 people.

Explanation:

Treat it as a proportion:

$\frac{people who chose salad}{percent who chose salad} = \frac{all people}{100%}$ $"people who chose salad" / "percent who chose salad" = "all people" / "100%"$

Cross multiply:

$people who chose salad \cdot 100% = percent who chose salad \cdot all people$ $"people who chose salad" * "100%" = "percent who chose salad" * "all people"$

Put in the numbers:

$81 \cdot 1 = 0.27 \cdot all people$ $81 * 1 = 0.27 * "all people"$

$\frac{81}{0.27} = all people$ $81 / 0.27 = "all people"$

$300 = all people$ $300 = "all people"$

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In a dinner, $27 %$ $27%$ people chose salad. If $81$ $81$ persons chose salad, how many people were there?

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