Problem page at the city museum, child admission is $6.00 and adult admission is $9.80 . on wednesday, 151 tickets were sold for a total sales of $1122.60 . how many child tickets were sold that day?

The number of child tickets was 94

Step-by-step explanation:

Let

x-----> the number of child tickets

y----> the number of adult tickets

we know that

-----> equation A

-----> equation B

Solving by graphing

The solution of the system of equations is the intersection point both graphs

The intersection point is (94,57)

see the attached figure

therefore

The number of child tickets was 94

The number of adult tickets was 57

its the fourth option

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0