Question

How to do this question plz ​

Answer 1

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