The Singh family and the Peterson family go to the cinema. The Singh family buy 2 adult ticketsand 3 child tickets. They pay £28.20 for the tickets. The Peterson family buy 3 adult tickets and 5child tickets. They pay £44.75 for the tickets.Find the cost of each adult ticket and each child ticket.

Answer:Adult Tickets Cost £6.75 eachChild Tickets Cost £4.90 eachStep-by-step explanation:Let price of adult tickets be "a"price of child tickets be "c"2 adult and 3 child equals 28.2, so we can write:2a + 3c = 28.20  [equation 1]also,3 adult and 5 child equals 44.75, so we can write:3a + 5c = 44.75  [equation 2]We multiply first equation by -3 to get:-3 [2a + 3c = 28.20] = -6a - 9c = -84.6Then we multiply second equation by 2, to get:2 [3a + 5c = 44.75] = 6a + 10c = 89.50Now we add up the 2 new equations:-6a - 9c = -84.66a + 10c = 89.50-------------------------c = 89.50 - 84.60 = 4.9Now, we plug in c = 4.9 into first equation and solve for a:2a + 3c = 28.20 2a + 3(4.9) = 28.20 2a + 14.7 = 28.202a = 13.5a = 6.75So,Adult Tickets Cost £6.75 eachChild Tickets Cost £4.90 each