Question

Customers at a sandwich shop took a survey. The results showed that 166 customers rated the shop as being "very satisfactory." This number represented 40% of the total number of customers who took the survey. What was the total number of customers who took the survey?

a) 166 customers took the survey.
b) 414 customers took the survey.
c) 415 customers took the survey.
d) 830 customers took the survey.

Answer 1

To find the total number of customers who took the survey, divide the number of customers who rated the shop as 'very satisfactory' by the percentage (expressed as a decimal). The calculation is 166 divided by 0.4, resulting in 415 customers.

Step-by-step explanation:

The student's question involves finding the total number of customers who took a survey if 166 customers represent 40% of the total. To find the total number, we use the concept of percentages. The equation we can set up is:

Total Number of Customers = Number of Customers who rated 'very satisfactory' / (Percentage / 100)
Therefore:

Total Number of Customers = 166 / (40 / 100) = 166 / 0.4 = 415

The correct answer is (c) 415 customers took the survey.