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# Last year, if Elena spent a total of $720 on newspapers, mag SORT BY: Tags: Show Tags Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 94906 Own Kudos [?]: 649126 [42] Given Kudos: 86922 Most Helpful Reply Math Expert Joined: 02 Sep 2009 Posts: 94906 Own Kudos [?]: 649126 [8] Given Kudos: 86922 General Discussion Intern Joined: 10 May 2012 Posts: 2 Own Kudos [?]: 2 [2] Given Kudos: 0 Director Joined: 03 Feb 2013 Posts: 793 Own Kudos [?]: 2614 [3] Given Kudos: 567 Location: India Concentration: Operations, Strategy GMAT 1: 760 Q49 V44 GPA: 3.88 WE:Engineering (Computer Software) Re: Last year, if Elena spent a total of$720 on newspapers, mag [#permalink]
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Last year, if Elena spent a total of $720 on newspapers, magazines, and books, what amount did she spend on newspapers? (1) Last year, the amount that Elena spent on magazines was 80 percent of the amount that she spent on books. (2) Last year, the amount that Elena spent on newspapers was 60 percent of the total amount that she spent on magazines and books. Statement 1) magazine = .8 of books. As newspaper expenditure is not provided. Hence Not sufficient. Statement 2) Lets assume magazine expenditure = m, newspaper expenditure = n and book expenditure = b then n = 0.6(m+b) we know that m+n+b =$720
=> 1.6 (m+b) = $720 We can find out the value of (m+b) and from there we can find the value of n as well. hence Option B) Intern Joined: 29 Jan 2017 Posts: 33 Own Kudos [?]: 36 [0] Given Kudos: 13 Re: Last year, if Elena spent a total of$720 on newspapers, mag [#permalink]
In regards to st2, is it the same as saying N = 60 % of 720 and M+B = 40% of 720?
We can't figure out exact values for M and B, but we can for M+B

Just so I have a better understanding for these types of questions

Thanks

kinjiGC wrote:
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Last year, if Elena spent a total of $720 on newspapers, magazines, and books, what amount did she spend on newspapers? (1) Last year, the amount that Elena spent on magazines was 80 percent of the amount that she spent on books. (2) Last year, the amount that Elena spent on newspapers was 60 percent of the total amount that she spent on magazines and books. Statement 1) magazine = .8 of books. As newspaper expenditure is not provided. Hence Not sufficient. Statement 2) Lets assume magazine expenditure = m, newspaper expenditure = n and book expenditure = b then n = 0.6(m+b) we know that m+n+b =$720
=> 1.6 (m+b) = $720 We can find out the value of (m+b) and from there we can find the value of n as well. hence Option B) Manager Joined: 19 Dec 2020 Posts: 160 Own Kudos [?]: 41 [0] Given Kudos: 316 Re: Last year, if Elena spent a total of$720 on newspapers, mag [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

Last year, if Elena spent a total of $720 on newspapers, magazines, and books, what amount did she spend on newspapers? (1) Last year, the amount that Elena spent on magazines was 80 percent of the amount that she spent on books. (2) Last year, the amount that Elena spent on newspapers was 60 percent of the total amount that she spent on magazines and books. given n$+m$+b$=720$(amount spent on newspaper, magazines, books) (1) Last year, the amount that Elena spent on magazines was 80 percent of the amount that she spent on books. $$m= 0.80*(b)$$ $$n+0.80*b+b=720$$----> $$n+1.80b=720$$ ------>$$n= 720-1.80b$$ (we don't know b, so this is clearly insuff.) (2) Last year, the amount that Elena spent on newspapers was 60 percent of the total amount that she spent on magazines and books. $$n=0.60 (m+b)$$ ---> $$0.60m+0.60b$$ -----> $$n+m+b= 720$$ ----- > $$0.60m+0.60b +m +b = 720$$ ----> $$1.60m+1.60b = 720$$-----> $$1.60(m+b)= 720$$----> $$m+b= 720/1.60$$ we got $$m + b$$, now plug that value in the stem equation, $$n+m+b=720$$ to get the value of n$

2 is sufficient. B is the answer.
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Re: Last year, if Elena spent a total of $720 on newspapers, mag [#permalink] 1 Kudos Top Contributor Let the amount spent by Elena on newspapers be$n, on magazines be $m and on books be$b. From the question data, n + m + b = 720.
The value of n to be found.

From statement I alone, m = $$\frac{4}{5}$$ * b. No information about n.

Statement I alone is insufficient to find the value of n. Answer options A and D can be eliminated. Possible answer options are B, C or E.

From statement II alone, n = $$\frac{3}{5}$$ (m +b). We can rewrite this as $$\frac{n }{ (m+b)}$$ = $$\frac{3}{5}$$.

This means, n and (m+b) are in the ratio of 3:5, so n = 3k and (m+b) = 5k.

From question data, n + m + b = 720. Substituting the values of n and (m+b), we have,
3k + 5k = 720 i.e. k = 90. Therefore, n = 3k = 270.
Statement II alone is sufficient to find the value of n. Answer options C and E can be eliminated.

The correct answer option is B.

Hope that helps!
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Re: Last year, if Elena spent a total of $720 on newspapers, mag [#permalink] Expert Reply Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND Edition Last year, if Elena spent a total of$720 on newspapers, magazines, and books, what amount did she spend on newspapers?

(1) Last year, the amount that Elena spent on magazines was 80 percent of the amount that she spent on books.
(2) Last year, the amount that Elena spent on newspapers was 60 percent of the total amount that she spent on magazines and books.

Solution:

Question Stem Analysis:

We need to determine the amount of money Elena spent on newspapers given that she spent a total of $720 on newspapers, magazines, and books. We can let n, m, and b be the amounts (in dollars) she spent on newspapers, magazines, and books, respectively. Therefore, we need to determine the value of n, given that n + m + b = 720. Statement One Alone: We are given that m = 0.8b. Substituting this in the equation in the stem analysis, we have: n + 0.8b + b = 720 n + 1.8b = 720 We can’t determine the value of n since we don’t know the value of b. Statement one alone is not sufficient. Statement Two Alone: We are given that n = 0.6(m + b). Substituting this in the equation in the stem analysis, we have: 0.6(m + b) + m + b = 720 1.6(m + b) = 720 m + b = 450 Since n = 0.6(m + b), n = 0.6(450) = 270. Statement two alone is sufficient. Answer: B Non-Human User Joined: 09 Sep 2013 Posts: 34395 Own Kudos [?]: 862 [0] Given Kudos: 0 Re: Last year, if Elena spent a total of$720 on newspapers, mag [#permalink]
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