Question

There are 72 tickets for a rehearsal for the class play and 96 cookies for the reception. Each student receives the same number of tickets as every other student. Each student also receives the same number of cookies as every other student. Part A. What is the greatest possible number of students?

Answer 1

The answer is 96 cookies for 162 students.

Step-by-step explanation:

The greatest possible number of students would be 162 students.

This can be determined by using the following steps:

1. Divide 72 tickets by 96 cookies to get the average number of tickets per cookie.

* 72 tickets / 96 cookies = 0.75

2. Divide the total number of tickets by the average number of tickets per cookie to get the total number of cookies needed for 162 students.

* 72 tickets / (0.75 cookies) = 96 cookies

So, 96 cookies are needed for a total of 162 students.

Answer 2

The greatest possible number of students that can equally share 72 tickets and 96 cookies for a school event is 24.

Step-by-step explanation:

The greatest possible number of students that can participating in a school event where 72 tickets and 96 cookies need to be distributed equally can be determined by finding the highest common factor (HCF) of 72 and 96. The HCF is the largest number that can completely divide two or more numbers. The HCF of 72 and 96 is 24. Thus, the greatest possible number of students that can participate and receive an equal number of tickets and cookies is 24.

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