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