Subjects algebra

Proportional Reasoning C5A662

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1. **State the problem:** We know that 10 students represent 4% of the seventh grade. We need to find the total number of students in the seventh grade. 2. **Set up the proportion:** Since 4% corresponds to 10 students, 100% corresponds to the total number of students, which we call $x$. 3. **Write the proportion equation:** $$\frac{4}{100} = \frac{10}{x}$$ 4. **Solve for $x$ by cross-multiplying:** $$4 \times x = 100 \times 10$$ $$4x = 1000$$ 5. **Divide both sides by 4 to isolate $x$:** $$x = \frac{1000}{4}$$ $$x = \cancel{\frac{1000}{4}} = 250$$ 6. **Interpretation:** There are 250 students in the seventh grade. **Final answer:** $$\boxed{250}$$