Question

A community theater sold a total of 400 tickets for adults and children. The price was was $8 per adult ticket and $5 per children ticket. If the total revenue was $2,750, how many adult tickets and children were sold?

Answer 1

250 adult tickets and 150 children tickets were sold.

Step-by-step explanation:

Let,

Adult tickets = x

Children tickets = y

According to given statement;

x+y=400 Eqn 1

As adult ticket is $8 and children ticket is $5, therefore,

8x+5y=2750 Eqn 2

$Multiplying\ Eqn\ 1\ by\ 5\\5(x+y=400)\\5x+5y=2000\ Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(8x+5y)-(5x+5y)=2750-2000\\8x+5y-5x-5y=750\\3x=750\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{750}{3}\\x=250\\Putting\ value\ of\ x\ in\ Eqn\ 1\\250+y=400\\y=400-250\\y=150$

250 adult tickets and 150 children tickets were sold.

Keywords: Linear equations, subtraction

Learn more about subtraction at:

• brainly.com/question/9136949
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