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In a random sample survey of employees, 
(4)/(5) of the survey respondents are in favor of stocking healthier snacks in the break room. If the employees surveyed are representative of all 240 employees, how many employees are in favor of stocking healthier snacks in the break room?
Choose 1 answer:
(A) 48
(B) 80
(C) 192
(D) 200

In a random sample survey of employees, 45 \frac{4}{5} of the survey respondents are in favor of stocking healthier snacks in the break room. If the employees surveyed are representative of all 240240 employees, how many employees are in favor of stocking healthier snacks in the break room?\newlineChoose 11 answer:\newline(A) 4848\newline(B) 8080\newline(C) 192192\newline(D) 200200

Full solution

Q. In a random sample survey of employees, 45 \frac{4}{5} of the survey respondents are in favor of stocking healthier snacks in the break room. If the employees surveyed are representative of all 240240 employees, how many employees are in favor of stocking healthier snacks in the break room?\newlineChoose 11 answer:\newline(A) 4848\newline(B) 8080\newline(C) 192192\newline(D) 200200
  1. Identify Fraction of Respondents: Identify the fraction of survey respondents in favor of the proposal.\newlineThe problem states that 45\frac{4}{5} of the survey respondents are in favor of stocking healthier snacks.
  2. Calculate Number of Employees: Calculate the number of employees in favor based on the total number of employees.\newlineSince the total number of employees is 240240, we multiply this number by the fraction of employees in favor to find the actual number of employees who support the idea.\newlineNumber of employees in favor = (4/5)×240(4/5) \times 240
  3. Perform Multiplication: Perform the multiplication to find the number of employees in favor.\newlineNumber of employees in favor = (45)×240(\frac{4}{5}) \times 240\newline= 4×(2405)4 \times (\frac{240}{5})\newline= 4×484 \times 48\newline= 192192

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