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To find out which type of musical instrument most students preferred, let's analyze the given information:
- 1 out of every 4 students chose wind instruments.
- 2 out of every 7 students chose brass instruments.
- 1 out of every 7 students chose string instruments.
- 1 out of every 2 students chose percussion instruments.
To compare the preferences, we need to standardize the fractions to have a common denominator. In this case, the common denominator will be 28 (the total number of students).
Converting the fractions:
- Wind instruments: \( \frac{1}{4} \times 28 = 7 \) students chose wind instruments.
- Brass instruments: \( \frac{2}{7} \times 28 = 8 \) students chose brass instruments.
- String instruments: \( \frac{1}{7} \times 28 = 4 \) students chose string instruments.
- Percussion instruments: \( \frac{1}{2} \times 28 = 14 \) students chose percussion instruments.
From the calculations, we see that percussion instruments were the most preferred among the students, with 14 students choosing them. Therefore, percussion instruments were the type of musical instrument that most students preferred in Luis's class.
