Subjects algebra

Papers Shared

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Papers Shared


1. Stating the problem: We have 37 papers shared between two girls. One girl has 11 less papers than the other. We need to find how many papers each girl has. 2. Let the number of papers the girl with fewer papers has be $x$. Then the other girl has $x + 11$ papers. 3. Write an equation for the total papers: $$x + (x + 11) = 37$$ 4. Simplify the equation: $$2x + 11 = 37$$ 5. Subtract 11 from both sides: $$2x = 37 - 11$$ $$2x = 26$$ 6. Divide both sides by 2: $$x = \frac{26}{2} = 13$$ 7. So, the girl with fewer papers has $13$ papers. 8. The other girl has: $$13 + 11 = 24$$ papers. 9. Final answer: One girl has 13 papers, and the other has 24 papers.