The Maplewood symphony orchestra sold 146 tickets and collected a total of $1036 in ticket sales. admission was five dollars for

Question

Len [333]

3 years ago

13

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

Mathematics

1 answer:

Gnom [1K] · Answer 1 · 2022-08-07T10:22:55+03:00

102 adult tickets were sold.

Step-by-step explanation:

Let,

Adult tickets = x

Children tickets = y

According to given statement;

x+y=146 Eqn 1

8x+5y=1036 Eqn 2

$Multiplying\ Eqn\ 1\ by\ 5\\5(x+y=146)\\5x+5y=730\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(8x+5y)-(5x-5y)=1036-730\\8x+5y-5x-5y=306\\3x=306\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{306}{3}\\x=102\\$

102 adult tickets were sold.

Keywords: Linear equations, subtraction

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