Question

If a person buys 18 local tickets for 110. Each first-class ticket costs 10 and each second class ticket costs 3. What will be another lot of tickets in which the number of first class and second class tickets are interchange cost?

Answer 1

Let the number of first-class ticket be $x.$
Number of $2^{nd}$ class ticket be $18-x.$
$10x+3\left(18-x\right)=110$
$10x+59-3x=110$
$7x=56$
$x=8$
There are 8 $1^{st}$ class ticket
and 10 $2^{nd}$ class ticket.
Cost of tickets when the number of first-class tickets and $2^{nd}$ class are interchanged is
$10\times 10+8\times 3=100+24$
$=$ $124$