Question

There are 80 boxes and each box weighs 22. 5 how many boxes does the truck have to deliver to cross a bridge that has to have a mass less than 4700

Answer 1

The truck can deliver up to 209 boxes without exceeding a mass of 4700.

Explanation:

To solve this problem, we need to use the formula:

`\sf:\implies Total_((Mass)) = Number_((Boxes)) * Weight_((Per\: Box))`

We know that each box weighs 22.5, so the formula becomes:

`\sf:\implies Total_((Mass)) = 22.5 * Number_((Boxes))`

We want to find the maximum number of boxes that the truck can deliver without exceeding a mass of 4700. So we set up an inequality:

`\sf:\implies 22.5 * Number_((Boxes)) \leqslant 4700`

To solve for number of boxes, we isolate it by dividing both sides by 22.5:

`\sf:\implies Number_((Boxes)) \leqslant 4700 / 22.5`

`\sf:\implies Number_((Boxes)) \leqslant 209.33`

Since we can't have a fraction of a box, we round down to the nearest integer:

`\sf:\implies \boxed{\bold{\:\:Number_((Boxes)) \leqslant 209\:\:}}\:\:\:\green{\checkmark}`

Therefore, the truck can deliver up to 209 boxes without exceeding a mass of 4700.