Subjects algebra

Pencils Stickers Inequality Ad7264

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Pencils Stickers Inequality Ad7264


1. **State the problem:** James sells pencils for 2 each and stickers for 0.5 each. He wants to make at least 10 dollars daily. 2. **Define variables:** Let $p$ be the number of pencils sold and $s$ be the number of stickers sold. 3. **Write the inequality:** The total money made is $2p + 0.5s$. Since he wants at least 10 dollars, the inequality is: $$2p + 0.5s \geq 10$$ 4. **Solve the inequality for $s$:** Subtract $2p$ from both sides: $$0.5s \geq 10 - 2p$$ Divide both sides by 0.5: $$s \geq \frac{10 - 2p}{0.5} = 20 - 4p$$ 5. **Interpretation:** For James to make at least 10 dollars, the number of stickers $s$ must be at least $20 - 4p$ given the number of pencils $p$ sold. **Final inequality:** $$2p + 0.5s \geq 10$$ or equivalently $$s \geq 20 - 4p$$