[Video] Q32: 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?

Explanation for Question 32 From the Math (Calc) Section on the Official Sat Practice Test 1

So number 32 says that the posted weight limit for covered wooden bridge in 2 Pennsylvania is 6,000 pounds, 3 right? So that's the maximum amount of weight that, that bridge could support a 4 delivery truck that is carrying X, identical boxes, 5 each weighing 14 pounds, right? So each a box weighs, 6 14 pounds will pass over the bridge if the combined weight of the empty 7 delivery truck and the driver is 4,500 pounds, 8 what is the maximum possible value for X? 9 Um, that will keep the combined weight below the bridges posted weight limit. 10 Right? So first off we want to make sure that what we calculate is, 11 um, below keep the weight below the bridges posted 12 weight limit, right? So whatever the total weight of the truck is, 13 we want that to be less than 6,000 pounds, 14 not equal to, but just less than right now, 15 the way of that truck, which we will put right here is going to 16 be the 4,500, which is the weight of the truck and the driver plus 17 the weight of the boxes, right? 18 And the weight of the boxes. We know we have X boxes and each 19 box weighs 14 pounds. So the weight of the truck is going 20 to be the weight of the driver and the truck itself, 21 plus the combined weight of all the boxes. And we want that to be 22 below the weight limit, right? Less than 6,000. 23 And so now we can just solve for X, right? 24 So we'll start by subtracting 4,500 from both sides. 25 And we'll get 14. X is equal to 1,500 or less 26 than not equal to less sand. 27 And n...

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