If 5/2 artists makes 5/2 paintings in 5/2 days, then how many artists are…

2025

If 5/2 artists makes 5/2 paintings in 5/2 days, then how many artists are required to make 25 paintings in 25 days?

  1. A.

    25

  2. B.

    1

  3. C.

    125

  4. D.

    5/2

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Correct answer: D

Answer: 5/2 artists

  • Let r be the number of paintings one artist makes per day.

  • From the given information: (5/2) artists × r × (5/2) days = 5/2 paintings.

  • Solve for r: r = (5/2) ÷ [(5/2) × (5/2)] = (5/2) × (4/25) = 2/5 paintings per artist per day.

  • Let M be the number of artists needed to make 25 paintings in 25 days: M × r × 25 = 25.

  • Substitute r = 2/5: M × (2/5) × 25 = 25 → M × 10 = 25 → M = 25/10 = 5/2.

  • Therefore, 5/2 artists are required.

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