a school drama department sells 40 more student tickets than adult tickets. charging $8 for adult tickets and $6 for student tickets, they raise a total of $1,920 in ticket sales. let x represent the number of adult tickets sold and y represent the number of student tickets sold. which system of equations can be used to find how many of each ticket is sold?

Respuesta :

Adults = x

Students = y = x + 40.         40 more student than adult

Adult = $8,  Student = $6

Total for Adults = 8*x = 8x

Total for students = 6*y = 6y

Total = $1920

8x + 6y = 1920

Hence system of equations are:


y = x + 40

8x + 6y = 1920

The following equation represents the given situation:

y = x + 40

8x + 6y = 1920

What is Equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.The most basic and common algebraic equations in math consist of one or more variables.

Here, Adults = x

Students = y = x + 40. (40 more student than adult)

Adult = $8,  Student = $6

Total for Adults = 8*x = 8x

Total for students = 6*y = 6y

Total = $1920

8x + 6y = 1920

y = x + 40

8x + 6y = 1920

Thus, The following equation represents the given situation:

y = x + 40

8x + 6y = 1920

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