Krystal's school is selling tickets to annual talent show. On the first day of the ticket sales the school sold 4 senior citizen tickets and 3 student tickets for a total of $25 . The school took in $58 on the second day by selling 4 senior citizen tickets and 14 student tickets find the price of a citizen ticket and the price of a student ticket

$4 is the price of a citizen ticket and $3 is the price of a student ticket.

Step-by-step explanation:

Given:

Krystal's school is selling tickets to annual talent show.

The total ticket sold on the first day is 4 senior citizen tickets and 3 student tickets for a total of $25.

Now, to find the price of the student ticket and the price of the citizen ticket.

Let the price of a citizen ticket be

Let the price of a student ticket be

So, the total amount of the first day of the ticket sales:

According to question:

The total amount of the second day of the ticket sales:

Now, using the elimination method we solve the equation:

So, subtracting equation (1) from equation (2):

Dividing both sides by 11 we get:

The price of a student ticket = $3.

Now, substituting the value of in equation (1) we get:

The price of a citizen ticket = $4.

Thus, $4 is the price of a citizen ticket and $3 is the price of a student ticket.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

answer is 67%

step-by-step explanation: