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Juan bought some paperback books that cost $8 each and some [#permalink]
Thank you marty . It clarified my doubt. Actually in my sub conscious mind , I was using that one number 260 only and was trying to crunch values .
How do I get good with numbers so that all these possibilities start appearing in front of eyes naturally ? Any tips to think of these scenarios ?
May be I should never consider an inequality to give me two certain values of the variables in it . Right ?

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Originally posted by sayan640 on 11 May 2024, 09:27.
Last edited by sayan640 on 11 May 2024, 09:45, edited 1 time in total.
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Juan bought some paperback books that cost $8 each and some [#permalink]
An equation can give me two definite values of variables in it.
But an inequality in all probability will not get me two definite values of the variables in it. It will always get me multiple values . Please advise marty

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Re: Juan bought some paperback books that cost $8 each and some [#permalink]
Thank you marty once again and sorry for troubling you with stupid questions.

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Re: Juan bought some paperback books that cost $8 each and some [#permalink]
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sayan640 wrote:
KarishmaB Can you please share the link where you discussed this question ? The previous link is no longer available.
MartyMurray , IanStewart Can you please help too ?­
Using statement , if I start plugging in values into this inequality
8p + 25h < 260
for h = 4 , 8p <260 -100
p<20 
So h=4 satisfies while no other value of h gives an integer value of p where p = number of paper back books and h = number of hardcover books.
I am finding  a single solution from this inequality  i.e 8p + 25h < 260 . Number of books cant be fraction.
Why is B not the answer ? Where am I making mistakes ? ­

­Have edited the link above. I don't have the same post but a question similar to this is discussed here:https://anaprep.com/algebra-equations-or-inequalities-a-lesson-in-active-passive/

Statement 2 alone is not sufficient.
8p + 25h < 260
If h = 4, p < 20 
If h = 3, p < 23
If h = 2, p < 26
etc.
So lots of cases are possible.

Why should h be 4 only without statement 1?

 
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Re: Juan bought some paperback books that cost $8 each and some [#permalink]
Thank you KarishmaB , I got my doubts cleared .
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Re: Juan bought some paperback books that cost $8 each and some [#permalink]
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