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Dave and Buster's is running a promotion that they will give everyone in a school a free hour of play time. The school that has the most people sign up for alerts on the Dave and Buster's app will win the free time.\newlineSaylesville has 364364 students and 12\frac{1}{2} of the school signed up. Central has 385385 students and 45%45\% of the school signed up. Northern has 510510 students and 30%30\% of the school signed up. Lonsdale has 4400 students and \newline4411 of the school signed up.\newlineWhich school won the free hour of play time? Show all of your work to prove your answer. Round your answers to the nearest whole number, if needed.

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Q. Dave and Buster's is running a promotion that they will give everyone in a school a free hour of play time. The school that has the most people sign up for alerts on the Dave and Buster's app will win the free time.\newlineSaylesville has 364364 students and 12\frac{1}{2} of the school signed up. Central has 385385 students and 45%45\% of the school signed up. Northern has 510510 students and 30%30\% of the school signed up. Lonsdale has 4400 students and \newline4411 of the school signed up.\newlineWhich school won the free hour of play time? Show all of your work to prove your answer. Round your answers to the nearest whole number, if needed.
  1. Calculate Saylesville sign-ups: Calculate the number of students from Saylesville who signed up.\newline12\frac{1}{2} of 364364 students = 364×0.5=182364 \times 0.5 = 182 students signed up.
  2. Calculate Central sign-ups: Calculate the number of students from Central who signed up. \newline45%45\% of 385385 students = 385×0.45=173.25385 \times 0.45 = 173.25, rounded to 173173 students.
  3. Calculate Northern sign-ups: Calculate the number of students from Northern who signed up.\newline30%30\% of 510510 students = 510×0.30=153510 \times 0.30 = 153 students signed up.
  4. Calculate Lonsdale sign-ups: Calculate the number of students from Lonsdale who signed up. \newline23\frac{2}{3} of 246246 students = 246×(23)=164246 \times \left(\frac{2}{3}\right) = 164 students signed up.
  5. Determine the winner: Compare the numbers to determine the winner.\newlineSaylesville = 182182, Central = 173173, Northern = 153153, Lonsdale = 164164.\newlineThe highest number is 182182 from Saylesville.

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