divyadamahe wrote:
Santa is packing 10 boxes into his sleigh. each box weighs either 20 pounds or 30 pounds, and the average weight of all 10 boxes is 27 pounds. Because the sleigh is too heavy, Santa must reduce the average weight of the boxes in the sleigh to exactly 25 pounds by removing some of the 30-pound boxes. How many 30 pound boxes must Santa remove?
A) 1
B) 2
C) 3
D) 4
E) 5
I used allegation method here
10 boxes, each box weighs either 20 pounds or 30 pounds
20---------------30
--------27---------
3-----------------7
3:7 is the ratio in which the boxes will be divided into and since they are 10 boxes
3, 20 lbs boxes and 7, 30 lbs boxes will be present
20---------------30
--------25---------
5-----------------5
1:1, is the ratio in which the boxes will be divided into
(i didn't read this
part when i had initially solved the question)
Santa
must reduce the average weight of the boxes in the sleigh to exactly 25 pounds
by removing some of the 30-pound boxes.
That meant that the current ratio will be 3:3
Initial boxes
20---------------30
--------27---------
3-----------------7
Current boxes
20-----------30
3-------------3
Reduction of 30 lbs boxes will be 7-3 = 4
Answer D
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Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.