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 what is the greatest number of students that can attend the party

Respuesta :

Answer:

18

Step-by-step explanation:

This question is essentially asking what the greatest common factor of 72 and 90 is. The prime factorization of 72 is:

[tex]2^3\cdot 3^2[/tex]

For 90:

[tex]2\cdot 5\cdot 3^2[/tex]

Therefore, the greatest common factor is [tex]2\cdot 3^2=2\cdot 9=18[/tex]. Hope this helps!