The u-drive rent-a-truck company plans to spend $8 million on 280 new vehicles. Each commercial van will cost $25,000 , each small truck $30,000 , and large truck $40,000. Past experience shows that they need twice as many vans as small truck. How many of each type of vehicle can they buy?

Answer:They can buy 160 commercial vans, 80 small trucks and 40 large trucks. Step-by-step explanation:The company plans to spend $8 million on 280 new vehicles.Commercial van = $25,000Small truck = $30,000Large Truck = $40,000Let 'x' be commercial van, 'y' small truck and 'z' large truck. Therefore:x + y + z = 280Also, we know that x = 2yTherefore: 3y + z = 280Also we know that: 25,000x + 30,000y + 40,000z = 8,000,00050,000y + 30,000y + 40,000z = 8,000,00080,000y + 40,000z = 8,000,000Therefore, we need to solve the following system of equation:3y + z = 280  [1]80,000y + 40,000z = 8,000,000  [2]We have that the results are: y=80, z=40 and x=160.Therefore, they can buy 160 commercial vans, 80 small trucks and 40 large trucks.