Subjects algebra

Seventh Grade Students 7Bba6D

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1. **State the problem:** We have 24 players on a baseball team. Seventh graders are \(\frac{1}{6}\) of the players. These seventh-grade players represent about 3% of all seventh-grade students. We want to find the total number of seventh-grade students.\n\n2. **Identify the known values:**\n- Total players: 24\n- Fraction of seventh graders on team: \(\frac{1}{6}\)\n- Seventh graders on team represent 3% of all seventh graders\n\n3. **Calculate the number of seventh-grade players on the team:**\n$$\text{Seventh graders on team} = 24 \times \frac{1}{6} = 4$$\n\n4. **Set up the equation for total seventh-grade students:**\nLet \(x\) be the total number of seventh-grade students. Since 4 players represent 3% of \(x\), we write:\n$$4 = 0.03 \times x$$\n\n5. **Solve for \(x\):**\n$$x = \frac{4}{0.03}$$\nShow cancellation step:\n$$x = \frac{\cancel{4}}{0.03} \times \frac{1}{\cancel{1}} = \frac{4}{0.03}$$\nCalculate:\n$$x = 133.33...$$\n\n6. **Interpret the result:**\nSince the number of students must be whole, approximately \(133\) students are in seventh grade.\n\n**Final answer:** There are approximately **133** seventh-grade students.