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An unloaded semi-truck, with the driver aboard, weighs 30,000 pounds. When fully loaded, the semi-truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds. What is the approximate average weight of one pallet of cargo?
Choose 1 answer:
(A) 1,131 pounds
(B) 1,280 pounds
(C) 1,633 pounds
(D) 1,665 pounds

An unloaded semi-truck, with the driver aboard, weighs $30$ , $000$ pounds. When fully loaded, the semi-truck holds $26$ pallets of cargo, and each of the $18$ tires of the fully loaded semi-truck bears approximately $3$ , $300$ pounds. What is the approximate average weight of one pallet of cargo? $\newline$ Choose $1$ answer: $\newline$ (A) $1$ , $131$ pounds $\newline$ (B) $1$ , $280$ pounds $\newline$ (C) $1$ , $633$ pounds $\newline$ (D) $1$ , $665$ pounds

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Find probabilities using combinations and permutations

Full solution

Q. An unloaded semi-truck, with the driver aboard, weighs

30

,

000

pounds. When fully loaded, the semi-truck holds

26

pallets of cargo, and each of the

18

tires of the fully loaded semi-truck bears approximately

3

,

300

pounds. What is the approximate average weight of one pallet of cargo?

\newline

Choose

1

answer:

\newline

(A)

1

,

131

pounds

\newline

(B)

1

,

280

pounds

\newline

(C)

1

,

633

pounds

\newline

(D)

1

,

665

pounds

Calculate total weight of tires: First, we need to calculate the total weight that the $18$ tires of the fully loaded semi-truck bear. $\newline$ Calculation: $18$ tires $\times$ $3,300$ pounds per tire $=$ $59,400$ pounds
Find weight of cargo: Next, we subtract the weight of the unloaded semi-truck from the total weight to find the weight of the cargo. $\newline$ Calculation: $59,400$ pounds (total weight) - $30,000$ pounds (unloaded truck weight) = $29,400$ pounds (cargo weight)
Calculate average weight per pallet: Now, we divide the total weight of the cargo by the number of pallets to find the average weight of one pallet. $\newline$ Calculation: $29,400$ pounds (cargo weight) $\div$ $26$ pallets = $1,130.76923077$ pounds per pallet
Round average weight of pallet: We round the average weight of one pallet to the nearest whole number to match the answer choices. $\newline$ Calculation: $1,130.76923077$ pounds $\approx 1,131$ pounds

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