Question

There are n adults in a club. 54 of the adults are over 30 years of age. 20 of the adults in the club are chosen at random. 8 of these 20 adults are over 30 years of age. Work out an estimate for the value of n.

A) 180
B) 150
C) 135
D) 120

Answer 1

To estimate the value of n, create a proportion based on the information given. Solve for n to find that n = 135.

Step-by-step explanation:

To estimate the value of n, we can create a proportion based on the information given. We know that 54 out of n adults are over 30 years of age, and 8 out of 20 adults chosen at random are over 30 years of age.

We can set up the proportion: 54/n = 8/20. Cross-multiplying gives us 8n = 54 * 20. Solving for n, we find that n = 135.

Therefore, the estimate for the value of n is 135.