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QuestionA box of carrots weighs 18.42 kg18.42 \mathrm{~kg}. Find the weight difference between 64 boxes and 1400 kg1400 \mathrm{~kg}.

Studdy Solution

STEP 1

Assumptions1. The weight of one box of carrots is18.42 kg. We have64 such boxes of carrots3. We need to find how much less these boxes weigh compared to1400 kg

STEP 2

First, we need to find the total weight of the64 boxes of carrots. We can do this by multiplying the weight of one box by the number of boxes.
Total weight=Weight of one boxtimesNumber of boxesTotal\, weight = Weight\, of\, one\, box \\times Number\, of\, boxes

STEP 3

Now, plug in the given values for the weight of one box and the number of boxes to calculate the total weight.
Total weight=18.42 kgtimes64Total\, weight =18.42\, kg \\times64

STEP 4

Calculate the total weight of the64 boxes of carrots.
Total weight=18.42 kgtimes64=1178.88 kgTotal\, weight =18.42\, kg \\times64 =1178.88\, kg

STEP 5

Now that we have the total weight of the64 boxes of carrots, we can subtract this from1400 kg to find how much less the boxes weigh.
Difference=1400 kg−Total weightDifference =1400\, kg - Total\, weight

STEP 6

Plug in the value for the total weight to calculate the difference.
Difference=1400 kg−1178.88 kgDifference =1400\, kg -1178.88\, kg

STEP 7

Calculate the difference.
Difference=1400 kg−117.88 kg=221.12 kgDifference =1400\, kg -117.88\, kg =221.12\, kgThe64 boxes of carrots weigh221.12 kg less than1400 kg.

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