Tickets at a particular movie theater have different rates for adults and children. on friday, the theater sold 4 adult tickets and 7 child tickets for $83. the next day, the theater sold 5 adult tickets and 6 children tickets for $90. what is the price for the adult ticket and the price for the child ticket?

The price for the adult tickets is $12 and the price for the child ticket is $5.

Step-by-step explanation:

Let the price for the adult ticket be x

Let the price for the child ticket be y

According to question, On Friday ,

and on next day,

Now, we will use "Substitution Method" to solve the system of equations :

so, we will put the value of x in the first equation i.e.

Now, put the value of y in the equation that is given by

Hence, the price for the adult tickets is $12 and the price for the child ticket is $5.