Question

2. A local band performed a free concert in the park. The following data was collected to help withfuture advertisements:• There were a total of 546 people in attendance.412 concertgoers were female.• 96 attendees were under the age of 15.23 people at the concert were over the age of 65.• 242 attendees were between the ages of 21 and 29..Which of the following ratio relationships is not true?A The ratio of females to total people was 412 to 546.B The ratio of females to males was 412 to 134.C The ratio of children under the age of 15 to attendees between the ages of 21 to 29 was 96 to 242.D The ratio of total people to people over the age of 65 was 23:546.Explain why the choice you selected was not a correct ratio relationship.

Answer 1

Given:

Total people = 546

Number of Females= 412

Attendees under the age 15 = 96

Attendees between the ages 21 and 29 = 242

From the above information, we can easily calculate:

Number of males = Total - number of females= 546-412= 134

Now, we will check the options one by one.

A) Ratio of females to total peope is given by:

`412\colon546`

Hence, the statement is true.

B)Ratio of females to males is given by:

`412\colon134`

Hence, this statement is true.

C)Ratio of attendees under age 15 to attendees having ages between 21 to 29 is given by:

`96\colon242`

Hence, this statement is true.

D)According to given data,ratio of total to attendees having age over 65 is given by:

`546\colon23`

This does not match the given statement so it is not true,since, the ratio is not given in the correct order.

Therefore, option D is not true.