MATH SOLVE

4 months ago

Q:
# Sixty-four tickets are issued for a schooldance, and 96 brownies are ordered forthe refreshment table. Each student getsthe same number of tickets as everyother student. Each student also gets thesame number of brownies as every otherstudent.Each student will get β tickets and _brownies.

Accepted Solution

A:

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