There are 5 boxes in a cargo hold. The weight ofthe first box is 200 kg and the weight of the secondbox is 20% higher than the weight of the third box,whose weight is 25% higher than the first box'sweight. The fourth box at 350 kg is 30% lighter thanthe fifth box. Find the difference in the averageweight of the four heaviest boxes and four lightestboxes.
Answers
The weight of the first box is 200 kg
First box = 200 kg
The third box is 25% heavier than the first box
Third box = 200 + (0.25 x 200) = 250 kg
The second box is 20% heavier than the third box
Second box = 250 + (0.2 x 250) = 300 kg
The fourth box at 350 kg
Fourth box = 350 kg
The fourth box is 30% lighter than the fifth box.
Fifth box = 350 - (0.3 x 350) = 245 kg
Arrange the weight in order:
200 kg < 250 kg < 245 kg < 300 kg < 350 kg
⇒ First box < Third box < Fifth box < Second box < Fourth box
Find the average weight of the 4 heaviest boxes:
Sum = 350 + 300 + 245 + 250 = 1145 kg
Average = 1145 ÷ 4 = 286.25 kg
Find the average weight of the 4 lightest boxes:
Sum = 200 + 250 + 245 + 300 = 995 kg
Average = 995 ÷ 4 = 248.75 kg
Find the difference:
Difference = 286.25 - 248.75 = 37.5 kg
Answer: The difference is 37.5 kg