NDure Posted November 19, 2011 Share Posted November 19, 2011 (edited) Households with efficient appliances and good maintenance can reduce water consumption by about 35%. If approximately half of the residential consumption in town W in 2010 was by households with these characteristics, how many billions of gallons of water were saved that year? A) 5 B) 14 C) 40 D) 52 E) 65 Edited November 19, 2011 by NDure Quote Link to comment Share on other sites More sharing options...
caa5042 Posted November 19, 2011 Share Posted November 19, 2011 http://www.www.urch.com/forums/attachments/gre-math/6312d1321663375-data-interpretation-capture178.jpg So 50 Billion gallons was the residential comsumption for 2010. 1/2 of that is 25 Billion and 35% of that is like 9 billion. Is that the answer? Quote Link to comment Share on other sites More sharing options...
NDure Posted November 19, 2011 Author Share Posted November 19, 2011 here're the answer choices: A) 5 B) 14 C) 40 D) 52 E) 65 Quote Link to comment Share on other sites More sharing options...
caa5042 Posted November 19, 2011 Share Posted November 19, 2011 Oh..i misread...uhh it shoudld be x - 0.35x = 25 Billion gallons (x is the amount they would have consumed if they hadn't saved any water) so 0.65x= 25 x= 38.46 and now they saved 35% of that amount so 13.5 Billion or 14 Billion? Quote Link to comment Share on other sites More sharing options...
shridhar22 Posted November 19, 2011 Share Posted November 19, 2011 Half of the population used efficient appliances. Half of the population used how much of gallons? => 50/2=25 Now this is the amount they used when they had efficient appliances involved. Suppose they didnt have those installed, they would have used X gallons 25 IS 35% OF X X*0.65= 25 X= 38.5 saved amount = X - 25 = 38.5 = 25 =~ 14. I hope this is the answer Quote Link to comment Share on other sites More sharing options...
mohville Posted October 21, 2012 Share Posted October 21, 2012 Hi, I made the same mistake. I did .35 of 26 = 9.1 but still can't understand where you got the assumption from (that 65%)? thank you for your help.. Quote Link to comment Share on other sites More sharing options...
ELMST Posted October 27, 2012 Share Posted October 27, 2012 65% comes from this: X - .35X=25 Now factor out the X to get: X(1-.35)=25 Now do the subtraction inside the parenthesis: (1-.35)=.65 Therefore X(.65)=25 Now divide 25 by .65: X=25/.65 which equals X=.38.46 38.46 is the amount of water that would have been used by residential if they had not been using efficient appliances and good maintenance. So now the difference between 38.46 and 25 is the amount that was saved. Quote Link to comment Share on other sites More sharing options...
grestudent912 Posted October 31, 2012 Share Posted October 31, 2012 i thought it will be reduce 25 by 35% i.e.25- 0.35*25 m i wrong? Quote Link to comment Share on other sites More sharing options...
GAD Posted August 2, 2013 Share Posted August 2, 2013 I'm sorry to necro this thread but this problem is driving me nuts. I understand well and good how the Kaplan book and people in this thread arrived at the answer, but I'm not understanding how it is the correct answer. shridhar22 (and Kaplan) simply take 50% of the total post-efficiency usage and assume that half is the half that was using the efficient appliances. It is not. It is simply half of the total water usage after the reduction has been applied but proportionally has the exact same number of efficient users and inefficient users as the total. 52 billion gallons is arrived by taking 1/2 population using x water per capita and 1/2 population using 0.65x water per capita or: p = population x = per capita water usage (0.5p * x) + (0.5p * 0.65x) = 52 billion gallons The average water user in this scenario is using 35%/2 less than they would if nobody was using efficient appliances. That means without the efficient users total usage would be 17.5% more than stated, or 61.1 billion gallons for a total savings of 9.1 billion gallons. Can someone take a look at this? Thank you. Half of the population used efficient appliances. Half of the population used how much of gallons? => 50/2=25 Now this is the amount they used when they had efficient appliances involved. Suppose they didnt have those installed, they would have used X gallons 25 IS 35% OF X X*0.65= 25 X= 38.5 saved amount = X - 25 = 38.5 = 25 =~ 14. I hope this is the answer Quote Link to comment Share on other sites More sharing options...
tomtom Posted February 13, 2014 Share Posted February 13, 2014 Hi, GAD is totally right. 25 is not 35% otherwise it would mean that the two halves just consumed the same amount of water or it is stated that one half are water savers and the other is not so by definition water savers use 35% less water than non water savers. Saying that X represents the amount of water consumed by the water savers half and Y the amount of water consumed by the non water savers half: X + Y = 50 and X = Y-35Y/100 Y-35Y/100 + Y = 50 2Y - 35Y/100 = 50 165Y = 5000 Y ~ 30 By deduction X ~ 20 and we saved here 10BG. However this answer is not listed. Anyone on this one ? Thanks Quote Link to comment Share on other sites More sharing options...
GAD Posted February 17, 2014 Share Posted February 17, 2014 Thanks for helping me feel not crazy. I'm not sure why nobody has picked up on this. Quote Link to comment Share on other sites More sharing options...
harishankar Posted February 12, 2019 Share Posted February 12, 2019 The residential consumption (in billions) in 2010 was approximately 52. Take half of that amount,26, to represent the amount of water used by households with efficient appliances and plumbing. Let W represent the amount of water these households would have used otherwise. Set up a percent equation to solve for W. Remember, the saving were 35%, so subtract 35 from 100 to find the amount that would have been used. 26=(100%-35%)*W 26=65%*W 26=0.65*W 26/0.65=40=W The savings in billions of gallons were 40-26=14. Easy Data interpretation solving process. Quote Link to comment Share on other sites More sharing options...
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