Write an inequality and solve for the maximum possible value of n

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Discussion Overview

The discussion revolves around formulating and solving an inequality related to the mass of books of two types, X and Y, with specific weights. The participants explore how to express the total mass constraint mathematically and determine the maximum number of books of type X that can be included without exceeding a total mass of 200g.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents the weights of books of type X and Y and asks for help in writing an inequality that includes the variable n.
  • Another participant suggests considering the total weight of n books of type X, prompting the use of multiplication.
  • A third participant expresses skepticism about the original poster's request for help, questioning their effort and understanding of the problem.
  • A later reply proposes the inequality 40n + 80 < 200g as a solution to the problem.
  • Another participant confirms the proposed inequality and states that the maximum possible value for n is 2.

Areas of Agreement / Disagreement

There is no explicit consensus on the approach to the problem initially, as some participants question the original poster's effort. However, there is agreement on the formulation of the inequality and the maximum value for n being 2.

Contextual Notes

Participants express varying levels of understanding and willingness to assist, which may affect the clarity of the discussion. The initial skepticism about the original poster's effort highlights a potential barrier to collaborative problem-solving.

Who May Find This Useful

Students seeking assistance with basic inequalities and those interested in mathematical problem-solving strategies may find this discussion relevant.

mathlearn
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Mass of a book of type X = 40g;

Mass of a book of type Y=80g;

The total mass of n books of type X and one book of type Y is less than 200g;

i. Write down an inequality containing the variable n only.

ii. Solve the above inequality for n and write down the maximum possible value for n

So how should the inequality be written (Thinking) Help needed (Wink)
 
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Are you asking, in particular, what is the total weight of $n$ books each of which weighs 40g? Perhaps you can consider multiplication...
 
Evgeny.Makarov said:
Are you asking, in particular, what is the total weight of $n$ books each of which weighs 40g? Perhaps you can consider multiplication...

Hello (Wave),

I think you should build and inequality as the problem states; can you help me build one
 
According to education.com, multiplication is covered in third grade. I am willing to give you more explicit help if you confirm that you study in third grade or below.

MHB helpers have to distinguish between people who want others to do work for them and people who have legitimate difficulties because we don't want to encourage the former behavior. Not doing any work for a simple problem is suspicious. Also, it goes against http://mathhelpboards.com/rules/, which requires showing some effort.
 
Evgeny.Makarov said:
According to education.com, multiplication is covered in third grade. I am willing to give you more explicit help if you confirm that you study in third grade or below.

MHB helpers have to distinguish between people who want others to do work for them and people who have legitimate difficulties because we don't want to encourage the former behavior. Not doing any work for a simple problem is suspicious. Also, it goes against http://mathhelpboards.com/rules/, which requires showing some effort.

Hmm.. Apologies It took me some time to figure out the inequality, I'm sorry at the time of posting this I had no working or ideas, I promise that won't happen again,

Sorry MHB! (Wasntme) if I went against rule #11, I think that I belong to the category under "legitimate difficulties".

Back to math :)

Think this should be the inequality in i
40n+80<200g

Many Thanks :)
 
Last edited:
mathlearn said:
Think this should be the inequality in i
40n+80<200g
That's correct! And since the inequality is strict, the maximum possible value for $n$ is 2.
 

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