Answer:
Each students will get 3 tickets and 2 brownies .
Step-by-step explanation:
Given as :
The total number of tickets issued for the school dance = 64
The number of brownies ordered for refreshment table = 96
Let the number of tickets given to each student = x
And The number of brownie given to each student = y
Now,
According to question
The tickets and brownies is distributed equally among students
So , Now, consider the tickets and brownies = n
Or, [tex]\dfrac{n}{64}[/tex] - [tex]\dfrac{n}{96}[/tex] = 1
Or, Taking LCM we get
[tex]\dfrac{3 n - 2 n}{192}[/tex] = 1
Or, [tex]\dfrac{n}{192}[/tex] = 1
∴ n = 192
Now,
The number of tickets given to each student = x = [tex]\dfrac{192}{64}[/tex]
I.e x = 3
And The number of brownie given to each student = y = [tex]\dfrac{192}{96}[/tex]
I.e y = 2
Hence Each students will get 3 tickets and 2 brownies . Answer