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Tutor
Joined: 11 Aug 2023
Posts: 1096
Given Kudos: 91
GMAT 1: 800 Q51 V51
Re: Juan bought some paperback books that cost $8 each and some
[#permalink]
11 May 2024, 09:03
11 May 2024, 09:03
1
Kudos
Expert Reply
sayan640 wrote:
I did not consider the total to be exactly 260 ; It is actually less than 260.
8p +25h < 260
You lost track of what you were doing.
You're working with an inequality, but you're treating it as an equation.
Keeping track of what you're doing and executing well is key for getting GMAT Quant questions correct. In other words, it's one thing to understand the math concepts and set things up. You also have to be logical in each step you take.
In this case, the fact that you are dealing with an inequality means that the total doesn't have to be exactly 260.
Posted from my mobile device
8p +25h < 260
MartyMurray wrote:
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 ?
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 ?
You lost track of what you were doing.
You're working with an inequality, but you're treating it as an equation.
Keeping track of what you're doing and executing well is key for getting GMAT Quant questions correct. In other words, it's one thing to understand the math concepts and set things up. You also have to be logical in each step you take.
In this case, the fact that you are dealing with an inequality means that the total doesn't have to be exactly 260.
Posted from my mobile device
So, then, there are multiple different values that work, right?
The total could be 235, 210, 202, or 185 and still satisfy the inequality. So, h doesn't have to be 4.
Juan bought some paperback books that cost $8 each and some
[#permalink]
Updated on: 11 May 2024, 09:19
Updated on: 11 May 2024, 09:19
I dint think about that possibility...I kept myself focussed only on one value.. marty . But in those cases mentioned by you , p is coming as not an integer but a decimal. How can the number of paper back books be a decimal value? It has to be integer.
Can you please cite a pair of values 'p' and 'h' which satisfy this inequality ? Sorry if I am asking you stupid questions.. Request you to help.
Can you please cite a pair of values 'p' and 'h' which satisfy this inequality ? Sorry if I am asking you stupid questions.. Request you to help.
Tutor
Joined: 11 Aug 2023
Posts: 1096
Given Kudos: 91
GMAT 1: 800 Q51 V51
Re: Juan bought some paperback books that cost $8 each and some
[#permalink]
11 May 2024, 09:19
11 May 2024, 09:19
Expert Reply
sayan640 wrote:
I dint think about that possibility...I kept myself focussed only on one value.. marty . But in those cases mentioned by you , p is coming as not an integer but a decimal. How can the number of paper back books be a decimal value? It has to be integer.
235 = 8 * 20 + 25 * 3
210 = 8 * 20 + 25 * 2
202 = 8 * 19 + 25 * 2
