Part A: Bowe\'s Truck Leasing Co. leases a truck for $30 a day and $.15 a mile.
ID: 3106595 • Letter: P
Question
Part A:Bowe's Truck Leasing Co. leases a truck for $30 a day and $.15 a mile. Carl's Truck Leasing Co. leases the same truck for $25 a day and $.20 a mile. Which leasing company is cheaper if the person leasing the truck plans to drive 70 miles a day?
Part B:
Code's school is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and 6 child tickets for a total of $85. The school took in $92 on the second day by selling 8 senior citizen tickets and 6 child tickets. Find the price of each senior citizen ticket and child ticket.
Explanation / Answer
a) Bowes: cost = 30 + .15(# miles) cost(70miles) = 30 + .15(70) = 40.5 Carls: cost = 25 + .20(#miles) cost(70miles) = 25 + .20(70) = 39 Carl's company is cheaper for 70 miles. b) 7s + 6c = 85.............(1) 8s + 6c = 92.............(2) times eq.1 by -1 and you get -7s - 6c = -85 8s + 6c = 92 add them s = 7 now plug s = 7 in wither eq.1 or 2 and find what c equal. 7s + 6c = 85 7(7) + 6c = 85 49 + 6c = 85 6c = 36 c = 6 Price for Senior Citizens = $7 price for Children = $6