A survey of Hazelton residents showed that $\frac{1}{6}$ of respondents love the town's annual bunny pageant. If the residents surveyed are representative of the $4$ , $200$ residents of Hazelton, how many Hazelton residents love the town's annual bunny pageant?

Full solution

Q. A survey of Hazelton residents showed that

\frac{1}{6}

of respondents love the town's annual bunny pageant. If the residents surveyed are representative of the

4

200

residents of Hazelton, how many Hazelton residents love the town's annual bunny pageant?

Problem Understanding: Understand the problem and identify the fraction of residents who love the bunny pageant. $\newline$ The problem states that $\frac{1}{6}$ of the surveyed residents love the town's annual bunny pageant. We need to find out how many residents this fraction represents out of the total population of Hazelton, which is $4,200$ residents.
Calculate Residents Who Love Bunny Pageant: Calculate the number of residents who love the bunny pageant. $\newline$ To find the number of residents who love the bunny pageant, we multiply the total number of residents by the fraction that represents those who love the pageant. $\newline$ Number of residents who love the pageant = $(\frac{1}{6}) \times 4,200$
Perform Multiplication to Find Residents: Perform the multiplication to find the number of residents. $\newline$ $(\frac{1}{6}) \times 4,200 = 700$ $\newline$ So, $700$ residents of Hazelton love the town's annual bunny pageant.