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Name $\newline$ Alyya $14900$ $\newline$ Period $\newline$ $4$ $\newline$ Dave and Buster's $\newline$ Due: Friday, May $3$ , $2024$ $\newline$ 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. $\newline$ Saylesville has $364$ students and $\newline$ $\frac{1}{2}$ of the school signed up. Central has $385$ students and $\newline$ $45\%$ of the school signed up. Northern has $510$ students and $\newline$ $30\%$ of the school signed up. Lonsdale has $4$ $0$ students and $\newline$ $4$ $1$ of the school signed up. $\newline$ Which 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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Find a value using two-variable equations: word problems

Full solution

Q. Name

\newline

Alyya

14900

\newline

Period

\newline

4

\newline

Dave and Buster's

\newline

Due: Friday, May

3

,

2024

\newline

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.

\newline

Saylesville has

364

students and

\newline

\frac{1}{2}

of the school signed up. Central has

385

students and

\newline

45\%

of the school signed up. Northern has

510

students and

\newline

30\%

of the school signed up. Lonsdale has

4

0

students and

\newline

4

1

of the school signed up.

\newline

Which 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.

Calculate Saylesville sign-ups: Calculate the number of students from Saylesville who signed up. $\newline$ $\frac{1}{2}$ of $364$ students = $364 \times 0.5 = 182$ students signed up.
Calculate Central sign-ups: Calculate the number of students from Central who signed up. $\newline$ $45\%$ of $385$ students = $385 \times 0.45 = 173.25$ , rounded to $173$ students.
Calculate Northern sign-ups: Calculate the number of students from Northern who signed up. $\newline$ $30\%$ of $510$ students = $510 \times 0.30 = 153$ students signed up.
Calculate Lonsdale sign-ups: Calculate the number of students from Lonsdale who signed up. $\newline$ $\frac{2}{3}$ of $246$ students = $246 \times \left(\frac{2}{3}\right) = 164$ students signed up.
Determine the winner: Compare the numbers to determine the winner. $\newline$ Saylesville = $182$ , Central = $173$ , Northern = $153$ , Lonsdale = $164$ . $\newline$ The highest number is $182$ from Saylesville.

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