Your teacher has 72 juice boxes and 90 candies for a Halloween party. Each student will receive the same amount of juice boxes/candies, and all juice boxes/candies must be used.%0D%0A%0D%0AWhat is the greatest number of students that can attend the party?
The greatest number of students that can attend the party is 18.
To find the greatest number of students that can attend the party, we need to find the greatest common divisor of 72 and 90.
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.
The greatest common divisor of 72 and 90 is 18.
Therefore, the greatest number of students that can attend the party is 18. Each student would receive 4 juice boxes (72 divided by 18) and 5 candies (90 divided by 18).