Aculinary club earns $1190 from a dinner service. they sold 34 adult meals and 51 student meals. an adult mean costs twice as much as a student meal. what is the cost of an adult meal?

$20

Step-by-step explanation:

Let S = student meal cost

Let A = adult meal cost

We know that the adult cost is twice the student cost

Formula 1:

A= 2S

We also know that there were 34 adult tickets and 51 student tickets

Formula 2:

34A + 51S = $1,190

Substitute the value of A from formula 1 into formula 2

34(2S) + 51S = $1,190

68S + 51S = $1,190

119S = $1,190

Divide by 119

S = $10

And

A = 2S

A = 2($10)

A = $20

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: 10 meter

step-by-step explanation:

need details