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17 Sep 2026, 02:59
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Difficulty:
45%
(medium)
Question Stats:
68% (02:27) correct
32%
(02:41)
wrong
based on 31
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Each of the 27 boxes in a van weighs 55 pounds. After three additional boxes are loaded into the van, the average weight of the boxes in the van is 56 pounds. If one of the three additional boxes weighs 15 pounds more than each of the other two, how much does it weigh?
A. 60 pounds
B. 65 pounds
C. 70 pounds
D. 75 pounds
E. 80 pounds
A. 60 pounds
B. 65 pounds
C. 70 pounds
D. 75 pounds
E. 80 pounds
17 Sep 2026, 04:46
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Let the weight of new box (of lower weight) = x
Number of boxes with lower weight = 2
Weight of the box with higher weight = x+15
Total weight = 27*55 + 2x + x + 15 = 27*55 + 3x + 15
Total boxes = 30
Average weight per box = 56
=> (27*55 + 3x + 15)/30 = 56
Divide num and den by 3
=> (9*55 + x + 5)/10 = 560
=> x = 560 - 9*55 - 5
=> x = 560 - 495 -5
=> x = 60
Remember to not fall for the trap here. Question is asking for the weight of the box with higher weight i.e. x + 15 which is equal to 75
Therefore, 75 is the answer
D
Number of boxes with lower weight = 2
Weight of the box with higher weight = x+15
Total weight = 27*55 + 2x + x + 15 = 27*55 + 3x + 15
Total boxes = 30
Average weight per box = 56
=> (27*55 + 3x + 15)/30 = 56
Divide num and den by 3
=> (9*55 + x + 5)/10 = 560
=> x = 560 - 9*55 - 5
=> x = 560 - 495 -5
=> x = 60
Remember to not fall for the trap here. Question is asking for the weight of the box with higher weight i.e. x + 15 which is equal to 75
Therefore, 75 is the answer
D
17 Sep 2026, 10:15
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The three new boxes increase existing wt from 27×55 to 27×56,that is an increase of 27 pounds.
To do that the three of them should weigh 27 more than their avg weight of 56.
Let the lesser be x above 56, so tge heavier will be 15+x above 56. Thus, x+x+15+x = 27 or x=4.
The heavier box = 56 + x+15 = 56 + 19 = 75
To do that the three of them should weigh 27 more than their avg weight of 56.
Let the lesser be x above 56, so tge heavier will be 15+x above 56. Thus, x+x+15+x = 27 or x=4.
The heavier box = 56 + x+15 = 56 + 19 = 75
kevincan
