Visitors to a cinema are either children, adults or pensioners. The ratio of children to adult visitors is 1:2. The ratio of adu
lts to pensioners is 3:4. A stratified sample of 85 is to be taken from the cinema visitors. How many pensioners should be in the sample?
1 answer:
Answer:
p=40
c/a=1/2 so a=2*c
a/p=3/4 so 3p=4a=4*2c so p=8c/3
c+a+p=85
c+2c+8c/3=85
3c+8c/3=85 multiply by 3
9c+8c=255
17c=255
but p =8c/3 so c=3p/8
17*3p/8=255 multiply by 8
51p=255*8=2040
p=2040/51=40
Step-by-step explanation:
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