Araffle is being held to benefit the local animal shelter. they sell 721 tickets that do not win any prize, 12 tickets that win a free adoption (valued at $20), and one ticket that wins $116 worth of pet supplies and toys. if they are selling the tickets for $5 each, how much should the shelter expect to earn for each ticket sold?

$4.52 /ticket

Step-by-step explanation:

There are 3 type of ticket here:

721 pcs of no reward tricker  

12 pcs of $20 reward  

1 pcs of $116 reward

Total reward that need to be by the shelter will be: 721*0$ + 12* $20 + 1*$116= $356

Total number of ticket that the shelter sell will be 721 +12 +1= 734 tickets  

The shelter sell 734 tickets at 5$ per ticket so their total earnings will be: 734* 5$= 3670$

The total revenue will be 3670$ -$356= $3314

If there are 734 tickets sold, then revenue per ticket=  $3314 /732=  $4.52 /ticket

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.