Question

Visitors to a cinema are either children, adults or pensioners the ratio of children to adult visitors is 1 : 2 the ratio of adults to pensioners is 3 : 4 a stratified sample is to be taken from the cinema visitors how many pensioners should be in the sample?

Answer 1

the number of pensioners in the sample is 40

Explanation:

The computation of the number of pensioners in the sample is shown below:

Given that

The Ratio of children to adult visitors is 1:2

The ratio of adults to pensioners is 3:4

And, the total number of seats is 85

Based on the above information,

The common ratios we could write as

1.5 : 3 : 4

Now we doubled it

3 : 6 : 8

So, the number of pensioners in the sample is

= 85 × 8 ÷ (3 + 6 +8)

= 40

Hence, the number of pensioners in the sample is 40