Quarter Brick High is selling tickets for the school musical. On the first day of sales, 3 senior citizen tickets and 9 student tickets were sold for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 student tickets. How much is one senior citizen ticket and one student ticket?

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + b x + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where ‘a’ is called the leading coefficient and ‘c’ is called the absolute term of f (x). The values of x satisfying the quadratic equation are the roots of the quadratic equation (α, β).

The quadratic equation will always have two roots. The nature of roots may be either real or imaginary.

First day

3x+9y=75/3

x+3y=25 -1

Second Day

8x+5y=67 -2

multiply equation 1 by -8

-8x-24y=-200

add it to equation 2

-24y+5y=-200+67

-19y=-133/-19

y= $7 cost of child ticket

plug value of y in equation1

x+21=25

x=$4 cost of senior citizen ticket

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