Subjects algebra

Pages Read 598660

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1. **State the problem:** Patrick read $w$ pages. Belvedere read 2.25 times as many pages as Patrick, so Belvedere read $2.25w$ pages. Keenan read 144.1 pages, which is 17 pages more than Patrick read. 2. **Write the equation for Patrick's pages:** Since Keenan read 17 pages more than Patrick, we have: $$144.1 = 17 + w$$ 3. **Solve for $w$:** Subtract 17 from both sides: $$144.1 - \cancel{17} = \cancel{17} + w - 17$$ $$144.1 - 17 = w$$ Calculate the left side: $$127.1 = w$$ So, Patrick read $127.1$ pages. 4. **Find how many pages Belvedere read:** Belvedere read $2.25$ times as many pages as Patrick: $$2.25 \times 127.1 = 285.975$$ Rounded to the nearest tenth: $$285.975 \approx 286.0$$ **Final answers:** - Equation representing Patrick's pages: $$144.1 = 17 + w$$ - Belvedere read approximately $286.0$ pages.