Question

You work for a waste removal company. The trailer of one of your dump trucks is 10 feet wide, 15 feet long, and 6.5 feet high. If a ton of debris equals 200 cubic feet, how many trucks are needed to cart away 45 tons of debris from a demolition site?

Answer 1

Answer:

Since x is an integer we conclude that there are 10 trucks needed to carry away 45 tones of debris.

Step-by-step explanation:

First we will find the volume of the dump truck:

V = 10*15*6.5

V = 975 ft^3

1 ton = 200 ft^3

45 tons = 45*200 ft^3

45 tons = 9,000 ft^3

Let x represent the number of trucks needed to carry away 45 tones of debris:

975*x = 9000

Answer 2

Answer:

10

Step-by-step explanation:

Each trailer of each truck can cart away (10)(15)(6.5) = 975 cubic feet of debris.

To cart 45 tons of debris i.e. 200 x 45 = 9000 cubic feet of debris away, we need

9000/975 = 9.23 trucks.

Since you need at least 9.23 trucks, and you cannot have a decimal number of trucks, 10 trucks are needed to cart away 45 tons of debris from a demolition site.