Problema Solution
The U-Drive Rent-A-Truck company plans to spend $14 million on 260 new vehicles. Each commercial van will cost $45,000, each small truck $70,000, and each large truck $60,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy? Vans?, Small trucks?, and large trucks?
Answer provided by our tutors
Let
x = the number of vans, x>0
y = the number of small trucks, y>0
z = the number of large trucks, z>0
The U-Drive Rent-A-Truck company plans to spend $14 million on 260 new vehicles:
x + y + z = 260
45,000x + 70,000y + 60,000z = 14,000,000 divide both sides by 10,000
4.5x + 7y + 6z = 1400
They need twice as many vans as small trucks:
x = 2y
We have the following system of equations:
x + y + z = 260
4.5x + 7y + 6z = 1400
x = 2y
........
........
x = 160 vans
y = 80 small trucks
z = 20 large trucks
They can buy 160 vans, 80 small trucks and 20 large trucks.