Problema Solution
Tickets for a concert are available at two prices. The more expensive ticket is $30 more then the cheaper one. Find the cost of each type of ticket if a group can buy 10 more of the cheaper tickets than the expensive ones for $1800.
Answer provided by our tutors
The problem statement is ambiguous, two unknown variables and one equation... let 'x' represent the cost of an expensive ticket, then 'x-10' represents the cost of a cheaper ticket; let 't' represent the number of expensive tickets purchased, then 't+10' represents the number of cheaper tickets purchased.
The cost of an expensive ticket could be posed in this equation:
1800=tx+(t+10)(x-30)
x=[15(t+70)]/(t+5)