Problema Solution

Admission prices at a high school football game were $6 for adults and $2 for children. The total value of of the tickets sold was $2528, and 454 tickets were sold. How many adult and how many child tickets were sold?

Answer provided by our tutors

a=no. of tickets for adults

c=no. of tickets for children 

a+c=454 => c=454-a

6*a+2*c=2528 => 6*a+2*(454-a)=2528 => 4*a+908=2528 => 4*a=1620 => a=405

=> c=49

Check the answer: 6*405+2*49=2420+98=2528.