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Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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01 Feb 2012, 19:54
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Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ? A) 1/2 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m
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Last edited by Bunuel on 18 Dec 2017, 23:47, edited 2 times in total.
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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02 Feb 2012, 00:00
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Angela time=t ;work=mn Linda time=1.5t; w=m+n (m+n)/1.5t=(mn)/t n=1/5*m answ is D
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Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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02 Feb 2012, 14:10
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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02 Feb 2012, 21:06
OA is D Let Angela spends t time so Linda spends 1.5t time and each one gets a compensation of m now Angela gives Linda n dollars. so Angela has mn dollars and Linda has m+n dollars since for t time Angela gets mn dollars so for 1.5t time Linda gets 1.5(mn)=m+n on solving n=1/5m



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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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03 Feb 2012, 02:48
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abhi47 wrote: Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
A) 1/2 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m
Could someone please provide a solution to this problem ? You could also assume some values here: A  2 hrs, L  3 hrs (50% more) Each gets total $60. Had they received same compensation per hr worked, per hr compensation would have been $120/5 = 24 (Total compensation/Total hrs) Angela would have got 24*2 = $48 So she should give (60  48) = $12 i.e. 1/5 th of $60 to Linda.
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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09 Aug 2013, 23:43
Donno where i went wrong......
Let say Angela took 2T hours and Linda took 3T hour and each receive m$.. Now per hour linda took m/3T and angela took m/2T.
As given M/2Tn=M/37+n I did solve this equation but did not reach to answer....
Please help....+1 kudos
Rgds Prasannajeet



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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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abhi47 wrote: Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
A) 1/2 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m
Could someone please provide a solution to this problem ? Time, L:A = 150:100=3:2 money, L:A = m:m later money, L:A = m+n:mn now, m+n/mn = 3/2 or, n = 1/5 m
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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10 Aug 2013, 05:58
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prasannajeet wrote: Donno where i went wrong......
Let say Angela took 2T hours and Linda took 3T hour and each receive m$.. Now per hour linda took m/3T and angela took m/2T.
As given M/2Tn=M/37+n I did solve this equation but did not reach to answer....
Please help....+1 kudos
Rgds Prasannajeet here m/2 or m/3 is dollar per hour and n = just dollar. but you are subtracting dollar from dollar per hour. it can't be true. For example, you are subtracting 5meters from 7meter/sec like this, 7m/sec  5m = it doesn't make any senses. Do this correction: minus from m and plus with n, you will have your answer. (mn)/2 = (m+n)/3 ok?
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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11 Aug 2013, 07:27
Hi Asifpirlo
Got u very clearly......I made a felony
+1 for u champ.....
Rgds Prasannajeet



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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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11 Aug 2013, 10:14
prasannajeet wrote: Hi Asifpirlo
Got u very clearly......I made a felony
+1 for u champ.....
Rgds Prasannajeet thanks man....................................... it's been a pleasure............
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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03 Apr 2014, 11:19
A takes 't' and gets $m L takes '1.5t' and gets $m Then per the question: (mn)/t = (m+n)/(1.5t) Hence n=m/5 Rgds, TGC!
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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28 Nov 2014, 04:23
Take m=60 angela hours =10 and linda hours =15(To complete the task). question is asked how much dollars angela give linda so per hour both receive the same, that value is n dollars. this n dollars is asked in terms of m. Now put m = 60 in the options we get 30,20,15,12,10 respectively.from the options if we substract 12 dollars from angela and add it to linda we have a situation as follows angela has 48 dollars and Linda has 72 dollars. Now Angela per hour earning = 48/10=4.8 and Linda's per hour earning = 72/15=4.8. hence equal. so thats the answer. Hope above explanation helps



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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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24 Dec 2015, 12:31
linda's time/total time=(3t/2)/(5t/2)=3/5 linda's pay/total pay=(m+n)/2m (m+n)/2m=3/5 n=m/5=1/5 m



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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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29 Dec 2015, 11:04
What stupid mistake am I making?
I tried the plugging in numbers approach  m=$120. Angela worked 4 hours and received $50, and Linda worked 6 hours and received $50. So Angela pays Linda n=$10. According to these numbers n in terms of m is m/10... Where am I going wrong? Not sure if I've been studying too much and am at the point where I'm making a lot of careless errors.



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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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29 Dec 2015, 23:16
Anonamy wrote: What stupid mistake am I making?
I tried the plugging in numbers approach  m=$120. Angela worked 4 hours and received $50, and Linda worked 6 hours and received $50. So Angela pays Linda n=$10. According to these numbers n in terms of m is m/10... Where am I going wrong? Not sure if I've been studying too much and am at the point where I'm making a lot of careless errors. If m = $120, then what is $50? m is supposed to be the amount each was paid. So m should be 50 and n =10. So n = (1/5)*m
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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03 Jan 2016, 08:25
Let , Time taken by Angela =t so that of Linda = 3t/2 so L:A=3:2.Total Pay 2m must be divided in this ratio . so Linda should get 6m/5.Instead she got m so Angela gave her = 6m/5m=m/5 Hence Ans = D
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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03 Jan 2016, 11:05
abhi47 wrote: Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
A) 1/2 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m
Could someone please provide a solution to this problem ? took me over 3 mins to solve coz i got confused toward the end ( ) but this is how i did it: let Angela work for 2 hours and Linda work for 3 hours (1.5 times of Angela) so they should be paid in the rations of their working hours. Linda should get 3*(2m)/5 and Angela should get 2*(2m)/5 [2m because both receive m dollars so 2m is total money that needs to be distributed between them] let m = 10 dollars. => Linda must get $12 and Angela must get $8. whereas both of them received $10 each. hence Angela must give $2 to Linda. => n = $2 therefore, n = m/5
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]
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06 Mar 2018, 11:28
abhi47 wrote: Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?
A) 1/2 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m We can let t = the amount of time Angela worked and create the equation: (m  n)/t = (m + n)/1.5t 1.5t(m  n) = t(m + n) 1.5(m  n) = (m + n) 1.5m  1.5n = m + n 0.5m = 2.5n 5m = 25n 5m/25 = n m/5 = n (1/5)m = n Answer: D
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