A warehouse stores 316 boxes. Due to increased demand, they multiply their storage by 1,000. Later, they ship out 100 times their original amount. How many boxes remain in the warehouse?
- 284,040 boxes remaining stored
- 315,684 boxes remaining stored
- 314,400 boxes remaining stored
- 284,400 boxes remaining stored (correct answer)
Explanation: When you encounter multi-step word problems involving large numbers, break down each operation carefully and track what happens to the original amount at each stage. Start with the warehouse's original storage: 316 boxes. First, they multiply their storage by 1,000, which means: boxes total. Next, they ship out 100 times their original amount. The original amount was 316 boxes, so they ship: boxes. Finally, subtract what they shipped from what they had: boxes remaining. Looking at the wrong answers: Choice A (284,040) likely comes from miscalculating the shipping amount as 31,960 instead of 31,600. Choice B (315,684) appears to result from subtracting only 316 boxes instead of 31,600, missing the "100 times" multiplier entirely. Choice C (314,400) suggests someone subtracted 1,600 instead of 31,600, possibly confusing the multiplication step. The correct answer is D (284,400 boxes). Strategy tip: In multi-step problems, write down what each phrase means mathematically before calculating. "100 times their original amount" means , not just adding 100. Always double-check that you're using the right numbers for each operation—the original amount (316) versus the current amount (316,000) serve different purposes in this problem.