Question

The bed of a truck is stacked with with boxes of paper. The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across

Answer 1

Answer:

3

Step-by-step explanation:

The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across, then there are $5\cdot 4\cdot 4=80$ boxes in total.

The mass of 1 box of paper is 22.5 kilograms, so 80 boxes weigh $22.5\cdot 80=1800$ kilograms.

When the driver is in the truck, the mass is 2948.35 kilograms, then the total mass is

$2948.35+1800=4748.35\ kg.$

Let n be the number of boxes of paper the driver must deliver at the first stop. Their weigth is 22.5n kg and the weight of the truck without n boxes is

$4748.35-22.5n\ kg.$

Trucks with a mass greater than 4700 kilograms are not allowed over the bridge, thus

$4748.35-22.5n48.35,\\ \\n>\dfrac{967}{450}=2\dfrac{67}{450}.$

Hence, the driver must deliver at least 3 boxes at the first shop.