Answer:
126 people
Step-by-step explanation:
Given that, ratio of people who preferred tea to those who preferred coffee = 9:5
Let number of people who preferred coffee = x
Number of people who preferred tea = x + 36
Total number of people in survey = x + (x+36)
Ratio of people who preferred tea to those who preferred coffee = (x + 36)/x = 9/5
Cross multiply to solve for x
5(x + 36) = x(9)
5x + 180 = 9x
Subtract 5x from both sides
180 = 9x - 5x
180 = 4x
Divide both sides by 4
180/4 = x
45 = x
x = 45
Number of people who preferred coffee = x = 45
Number of people who preferred tea = x + 36 = 45 + 36 = 81
Total number of people in the survey = x + (x + 36) = 45 + 81 = 126 people
