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13 Jan 2014, 01:54
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
77% (01:19) correct
23%
(01:35)
wrong
based on 2193
sessions
History
Date
Time
Result
Not Attempted Yet
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.
(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.
13 Jan 2014, 01:55
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SOLUTION:
Last year, if Elena spent a total of $720 on newspapers, magazines, and books, what amount did she spend on newspapers?
Given that \(n + m + b = 720\), find the value of n.
(1) Last year, the amount that Elena spent on magazines was 80 percent of the amount that she spent on books --> \(m=0.8b\) --> \(n + 0.8b + b = 720\) --> \(n=720-\frac{9}{5}b\). Not sufficient.
(2) Last year, the amount that Elena spent on newspapers was 60 percent of the total amount that she spent on magazines and books --> \(n=0.6(m+b)\) --> \(\frac{5}{3}n=m+b\) --> substitute: \(n + m + b =n+\frac{5}{3}n =720\) --> we can solve for n. Sufficient.
Answer: B.
Last year, if Elena spent a total of $720 on newspapers, magazines, and books, what amount did she spend on newspapers?
Given that \(n + m + b = 720\), find the value of n.
(1) Last year, the amount that Elena spent on magazines was 80 percent of the amount that she spent on books --> \(m=0.8b\) --> \(n + 0.8b + b = 720\) --> \(n=720-\frac{9}{5}b\). Not sufficient.
(2) Last year, the amount that Elena spent on newspapers was 60 percent of the total amount that she spent on magazines and books --> \(n=0.6(m+b)\) --> \(\frac{5}{3}n=m+b\) --> substitute: \(n + m + b =n+\frac{5}{3}n =720\) --> we can solve for n. Sufficient.
Answer: B.
General Discussion
13 Jan 2014, 22:54
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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.
My Solution:
From Question: N(newspapers) + M (magazines) + B(books) = 720
From (1) : M =80/100(B)
M= 4/5B
Subs in Question: N+ 4/5B+B = 720 ( Two unknown values), So insufficient.
From(2): N=60/100(M+B)
N=3/5(M+B)
Since we need to find N, Keeping N in the equation. So M=5/3N-B
Subs in Main equation: N+ 5/3N-B +B= 720
N+5/3N= 720
So, can find N... Sufficient! My ANSWER : B
(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.
Data Sufficiency
Question: 33
Category: Arithmetic Percents
Page: 155
Difficulty: 600
Question: 33
Category: Arithmetic Percents
Page: 155
Difficulty: 600
My Solution:
From Question: N(newspapers) + M (magazines) + B(books) = 720
From (1) : M =80/100(B)
M= 4/5B
Subs in Question: N+ 4/5B+B = 720 ( Two unknown values), So insufficient.
From(2): N=60/100(M+B)
N=3/5(M+B)
Since we need to find N, Keeping N in the equation. So M=5/3N-B
Subs in Main equation: N+ 5/3N-B +B= 720
N+5/3N= 720
So, can find N... Sufficient! My ANSWER : B
