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.

60.96438

step-by-step explanation:

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61