Mr. and Mrs. Johnson and their eight-year-old son visited a museum. They paid a total of $16.50 for their museum admission tickets. A group of tourists consisting of 17 adults and 8 children paid $138 for their admission tickets to the same musuem.
a) What is the price of an adult museum ticket? What is the price of a child museum ticket?
b) What is the total cost of museum tickets for 3 adults and 12 children?
Let the price of child's ticket = C
Let the price of an adult's ticket = A
1C + 2A = 16.50.......................(1)
8C + 17A = 138.00..................(2), solve for C, A
a - C = 4.50 dollars - child's ticket and A = 6.00 dollars - adult's ticket
b - [12 * $4.50] + [3 * $6] =$54 + $18 = $72.00 - Total cost for 3 adults and 12 children.