A band sold out a concert with 4,200 seats. A random sample of 120 ticket buyers is surveyed, and 28 buyers made their purchase on the first day tickets were being sold. How many of the 4,200 tickets are likely to have been purchased on the first day?

Question

Mathematics

Keira

21 March, 17:12

A band sold out a concert with 4,200 seats. A random sample of 120 ticket buyers is surveyed, and 28 buyers made their purchase on the first day tickets were being sold. How many of the 4,200 tickets are likely to have been purchased on the first day?

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Answers (1)

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Emmanuel Rich · Answer 1

Answer: 980 tickets

Step-by-step explanation:

A band sold out a concert that has 4,200 seats. A random sample of 120 ticket buyers was surveyed, and 28 buyers were found to have made their purchase on the first day the tickets were being sold. This means (28/120) = 7/30 of the 120 ticket were purchased on the first day.

To get the number of first day tickets purchased when 4,200 tickets are likely to have been purchased will be the fraction gotten multiplied by 4200. This will be:

= 7/30 * 4200

= 29400/30

= 980 tickets