Q:

The Maplewood symphony orchestra sold 146 tickets and collected a total of $1036 in ticket sales. admission was five dollars for children and eight dollars for adults. how many adult tickets were sold

Accepted Solution

A:
102 adult tickets were sold.Step-by-step explanation:Let,Adult tickets = xChildren tickets = yAccording to given statement;x+y=146 Eqn 18x+5y=1036 Eqn 2[tex]Multiplying\ Eqn\ 1\ by\ 5\\5(x+y=146)\\5x+5y=730\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(8x+5y)-(5x-5y)=1036-730\\8x+5y-5x-5y=306\\3x=306\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{306}{3}\\x=102\\[/tex]102 adult tickets were sold.Keywords: Linear equations, subtractionLearn more about linear equations at:brainly.com/question/9087716brainly.com/question/9056912#LearnwithBrainly