Question

Tickets to a movie cost $7.25 for adults and $5.50 for students. a group of friends purchased 8 tickets for $52.75. How many adult tickets and student tickets were purchased.

Answer 1

5 adult tickets and 3 student tickets were purchased.

Step-by-step explanation:

Given,

Cost of one adult ticket = $7.25

Cost of one student ticket = $5.50

Total tickets purchased = 8

Total amount spent = $52.75

Let,

Number of adult tickets = x

Number of student tickets = y

According to given statement;

x+y=8     Eqn 1

7.25x+5.50y=52.75    Eqn 2

Multiplying Eqn 1 by 5.50

$5.50(x+y=8)\\5.50x+5.50y=44.00\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(7.25x+5.50y)-(5.50x+5.50y)=52.75-44.00\\7.25x+5.50y-5.50x-5.50y=8.75\\1.75x=8.75$

Dividing both sides by 1.75

$\frac{1.75x}{1.75}=\frac{8.75}{1.75}\\x=5$

Putting x=5 in Eqn 1

$5+y=8\\y=8-5\\y=3$

5 adult tickets and 3 student tickets were purchased.

Keywords: linear equation, subtraction

Learn more about linear equations at:

• brainly.com/question/1554024
• brainly.com/question/1560475

#LearnwithBrainly