The total number of adult tickets and student tickets sold was 100. The cost for adults was $5 per ticket and the cost for students were $3 per ticket for a total of $380. How many of each tickets were sold?

Please include the work as I don't know how to show it myself :)

1 Answer
May 18, 2018

#40# adult tickets and #60 # student tickets were sold.

Explanation:

Number of adult tickets sold#=x#

Number of student tickets sold#=y#

The total number of adult tickets and student tickets sold was 100.

#=> x+y = 100 #

The cost for adults was $5 per ticket and the cost for students were $3 per ticket

Total cost of #x# tickets #= 5x#

Total cost of #y# tickets #=3y#

Total cost #= 5x+3y = 380#

Solving both the equations,

#3x+3y=300#
#5x+3y=380# [Subtracting both]

#=> -2x=-80#

#=>x=40#

Therefore #y=100-40=60#