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?
- A.
25
- B.
1
- C.
125
- 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.