Question

a pickup truck carrying $10^3$ identical blocks weighs 6,752 pounds. if the empty truck weighs 6,294 pounds, what is the weight of each block? explain how to solve the problem.

select the correct choice below and fill in the answer box to complete your choice.
(type a whole number or a decimal.)
a. first, find the weight of the blocks by subtracting the weight of the empty truck from its current weight. then, divide the weight of the blocks by $10^3$. so, each block weighs pound(s).
b. first, find the weight of the blocks by subtracting the weight of the empty truck from its current weight. then, multiply the weight of the blocks by 6,294. so, each block weighs pound(s).
c. first, find the weight of the blocks by adding the weight of the empty truck and its current weight. then, divide the weight of the blocks by 6,294. so, each block weighs pound(s).
d. first, find the weight of the blocks by adding the weight of the empty truck and its current weight. then, multiply the weight of the blocks by $10^3$. so, each block weighs pound(s).

Explanation:

Step1: Calculate total weight of blocks

Subtract empty truck weight from total weight:
$6752 - 6294 = 458$

Step2: Calculate weight per block

Divide total block weight by number of blocks ($10^3=1000$):
$\frac{458}{1000} = 0.458$

Answer:

A. First, find the weight of the blocks by subtracting the weight of the empty truck from its current weight. Then, divide the weight of the blocks by $10^3$. So, each block weighs 0.458 pound(s).