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David bought greater than 10 paperback books that cost $8 each and gre
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21 Sep 2021, 02:15
21 Sep 2021, 02:15
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David bought greater than 10 paperback books that cost $8 each and greater than 8 hardcover books that cost $20 each. If the total cost of all the books that he bought was between $240 and $300, exclusive, how many total number of books could he buy?
Indicate all such answers.
A. 17
B. 18
C. 19
D. 20
E. 21
F. 22
G. 23
Source: manhattanreview
Indicate all such answers.
A. 17
B. 18
C. 19
D. 20
E. 21
F. 22
G. 23
Source: manhattanreview
ShowHide Answer
Official Answer
D,E,F,G
David bought greater than 10 paperback books that cost $8 each and gre
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21 Sep 2021, 07:32
21 Sep 2021, 07:32
1
Take paperback books \(= x\) & hardcover books \(= y\)
The cost is between \(240 - 300\)
\(240 < 8x + 20y < 300\)
\(60 < 2x + 5y < 75\)
Now, \(x > 10\) & \(y > 8\)
Now from these, we can solve it.
Let's say
if \(y = 9\), then \(x\) can be \(8, 9, ... , 14\)
BUT \(x > 10\) so x can be \(11/ 12/ 13/ 14\) so the sum will be \(x + y = 20 / 21 / 22 / 23\)
if \(x = 11\), then y can be \(8, 9 , 10\)
BUT \(y > 8\) so y can be \(9 / 10\) so the sum will be \(x + y = 20 / 21 \)
20 / 21 / 22 / 23
Answer D E F G
The cost is between \(240 - 300\)
\(240 < 8x + 20y < 300\)
\(60 < 2x + 5y < 75\)
Now, \(x > 10\) & \(y > 8\)
Now from these, we can solve it.
Let's say
if \(y = 9\), then \(x\) can be \(8, 9, ... , 14\)
BUT \(x > 10\) so x can be \(11/ 12/ 13/ 14\) so the sum will be \(x + y = 20 / 21 / 22 / 23\)
if \(x = 11\), then y can be \(8, 9 , 10\)
BUT \(y > 8\) so y can be \(9 / 10\) so the sum will be \(x + y = 20 / 21 \)
20 / 21 / 22 / 23
Answer D E F G
Re: David bought greater than 10 paperback books that cost $8 each and gre
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05 Oct 2024, 13:53
05 Oct 2024, 13:53
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
