The U drive rent a truck company plans to spend 13 million on 320 new vehicles. Each commercial van will cost $35000, each small truck $30000, and each large truck $80000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy?

Answer 1

number of small trucks --- x
number of vans -----2x
number of large trucks --- 320 - 3x

30000x + 35000(2x) + 80000(320-3x) = 13000000
divide by 10000
3x + 7x + 8(320-3x) = 1300
-14x = -1260
x = 90

so 90 small trucks
180 vans and
50 large trucks