Question

The posted weight limit for a covered wooden bridge in Pennsylvania is $6000$ pounds. A delivery truck that is carrying $x$ identical boxes each weighing $14$ pounds will pass over the bridge. If the combined weight of the empty delivery truck and its driver is $4500$ pounds, what is the maximum possible value for $x$ that will keep the combined weight of the truck, driver, and boxes below the bridge's posted weight limit?

• A. $105$
• B. $106$
• C. $107$
• D. $108$

Answer 1

Answer: (C)

$107$

Total weight of the truck $=14x+4500$
It should be $<6000$ pounds
$\Rightarrow 14x+4500<6000$
$\Rightarrow 14x<1500$
$\Rightarrow x<107.15$
Thus there should be maximum $107$ boxes.