WEBVTT

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Here is the problem: Two thirds of a number is 24. Find the number.

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Let x be the number: “2 thirds of a number” becomes (2 over 3) times x.

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Read the problem. Let x be the unknown number. “2 thirds of a number is 24” translates to (2 over 3) times x equals 24.

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Solve the linear equation. 0.6666666667x plus 0 equals 24 → x equals (24 minus 0) / 0.6666666667 equals 36.

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So the answer is The number is 36.

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Let x be the number: “2 thirds of a number” becomes (2 over 3) times x.

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Substitute x equals 36: (2 over 3) times (36) equals 24, which checks out.