Question

the U-drive Rent-A-Truck company plans to spend $10million on 260 New vehicles. Each commercial Van will cost 25,000, each small truck 50,000, ans each large truck 50,000. past experiance shows that they need twice as many vans as small trucks. how many of each type of vehicle cab they buy?

Save Homework: Chapter 6 Review Homework Score: 0 of 3 pts 7 of 29 (6 complete) 6.3.9-BE HW Score: 21.43%, 9 of 42 pts Question Help The U-Drive Rent-A-Truck company plans to spend $10 million on 260 new vehicles. Each commercial van will cost $25,000, each small truck 550,000, and each large truck 550,000. Past experience shows that they need twice as many vans as small trucks. How many of each type of vehicle can they buy? They can buy vans, small trucks, and large trucks.

Answer 1

Answer:

Let ''X'' be the no. of small trucks, then vans shall be ''2X'' and let ''Y'' be the large trucks.

From the information given total no. of vehicles can be purchased = 260

i.e., X+2X+Y=260

3X+Y=260----------(1)

and the total amount of investment = $10,000,000

i.e., 25,000(2X)+50,000(X)+50,000(Y)=10,000,000

50,000X+50,000X+50,000Y=10,000,000

2X+Y=200----------(2)

on solving the above equations we get,

X= 60 and Y=80

Therefore,

no. of small trucks = X = 60

No. of vans = 2X = 2(60) = 120

No. of large trucks = Y = 80.

Thank you.