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Answered

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LittleAngel36

Answer:

The correct answer is Option C.

Explanation:

1) Simplify 9/60 to 3/20.

[tex] \frac{x}{24} - \frac{x}{30} = \frac{3}{20} [/tex]

2) Simplify x/24 - x/30 to x/120.

[tex] \frac{x}{120} = \frac{3}{20} [/tex]

3) Multiply both sides by 120.

[tex]x = \frac{3}{20} \times 120[/tex]

4) Use this rule: a/b × c = ac/b.

[tex]x = \frac{3 \times 120}{20} [/tex]

5) Simplify 3 × 120 to 360.

[tex]x = \frac{360}{20} [/tex]

6) Simplify 360/20 to 18.

[tex]x = 18[/tex]

Therefor, the answer is option C. 18.

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