Final answer:
The equation that correctly represents the given statement is option (c) 152j - 260 = 217j + 143, which is found by combining the descriptions into a single equation.
Step-by-step explanation:
The equation that represents the statement "260 subtracted from the product of j and 152 is 143 more than the quantity 217 times j" can be set up by first expressing the product of j and 152 as 152j, then subtracting 260 from it, which gives us 152j - 260. Now, to express '143 more than the quantity 217 times j', we add 143 to 217 times j, yielding 217j + 143. By equating these two expressions, we obtain the equation 152j - 260 = 217j + 143. Therefore, the correct answer is option (c).