A tadium ha 50,000 eat. Seat ell for $42 in ection A, $24 in ection B, and $18 in ection C. The number of eat in ection A equal the total number of eat in ection B and C. Suppoe the tadium take in $1,588,200 from each old out event. How many eat doe each ection hold?

A mathematical expression is a mathematical statement containing at least two terms with numbers and/or variables connected by operators between them. Arithmetic operators are addition, subtraction, multiplication, or division. For example, x + y is an expression whose term has an addition operator between x and y. There are two kinds of formulas in mathematics. Numeric expression - contains only numeric values. An algebraic expression containing both numbers and variables.

The terms included in the formula are:

Constant: A constant is a fixed number.
Variable: A variable is a symbol with no fixed value.
Clause: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division.
Coefficient: A coefficient is a number by which a variable is multiplied in an expression.

According to the question:

As per the given equations in the question,

A + B + C = 50,000 ---------------------------------(i)

42A + 24B + 18C = 1,588,200 --------------------- (ii)

A = B + C -------------------------------(iii)

Substitute value of A from (iii) to (i),

2B + 2C = 50000

⇒ B + C = 25,000 -------------------------------(iv)

Similarly, substitute value of (iii) in equation (ii),

42 (B +C) + 24B + 18C = 1588200

⇒ 66B + 60C = 1588200

⇒ 33B + 30C = 794100 ------------------------------ (v)

Multiply 33 in equation (iv) and subtract from (v)

-3C = -30900

⇒ C = 10,300 seats.

Now,

B + C = 25000

⇒ B = 25000 - 10300

⇒ B = 14,700 seats.

And,

A = B + C

⇒ A = 10300 + 14700

⇒ A = 25000 seats.

Therefore, there are 25000 seats in Section A , 14,700 seats in section B and 10300 seats in section C.

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