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

There were 5 adult tickets and 3 student ticketsStep-by-step explanation:Let x be the number of adult tickets andy be the number of student ticketsThen according to given statements[tex]x+y = 8\ \ \ Eqn\ 1\\7.25x+5.50y = 52.75\ \ \ Eqn\ 2[/tex]From Eqn 1:x = 8-yPutting in equation 2[tex]7.25(8-y)+5.50y = 52.75\\58 - 7.25y +5.50y = 52.75\\58 - 1.75y = 52.75\\-1.75y = 52.75-58\\-1.75y = -5.25[/tex]Dividing both sides by -1.75[tex]\frac{-1.75y}{-1.75} = \frac{-5.25}{-1.75}\\y = 3[/tex]Putting y = 3 in equation 1[tex]x+y = 8\\x+ 3 = 8\\x = 8-3\\x = 5[/tex]There were 5 adult tickets and 3 student ticketsKeywords: Linear equations, variablesLearn more about linear equations at:brainly.com/question/1406585brainly.com/question/1401074#LearnwithBrainly