Subjects algebra

Mike Biking 8A9936

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1. **State the problem:** Mike biked 5 miles on Tuesday, 3 miles on Wednesday, and twice as many miles on Saturday as Wednesday. He hopes to bike a total of 25 miles for the week. We need to find how many miles Mike should bike on Sunday. 2. **Define variables:** Let Sunday miles be $x$. 3. **Write the equation for total miles:** Total miles = Tuesday + Wednesday + Saturday + Sunday 4. **Express Saturday miles:** Saturday miles = $2 \times$ Wednesday miles = $2 \times 3 = 6$ 5. **Set up the equation:** $$5 + 3 + 6 + x = 25$$ 6. **Simplify the left side:** $$14 + x = 25$$ 7. **Solve for $x$:** $$x = 25 - 14$$ $$x = 11$$ 8. **Interpretation:** Mike should bike 11 miles on Sunday to reach a total of 25 miles for the week. **Final answer:** 11 miles (Option C)