Number of students in a class at first

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Discussion Overview

The discussion revolves around a problem involving the number of pupils in a class, specifically focusing on how to express the total number of pupils after additional students join and determining the initial number of pupils based on a given total after a week. The scope includes mathematical reasoning and problem-solving related to algebra.

Discussion Character

  • Homework-related, Mathematical reasoning, Debate/contested

Main Points Raised

  • Some participants propose that the number of pupils in the class after a week can be expressed as \(m + 4\), where \(m\) is the initial number of pupils.
  • One participant mentions that the equation \(m + 4 = 40\) can be used to solve for \(m\), indicating that \(m\) represents the initial number of pupils.
  • Another participant raises a concern about a different answer from a book, stating that it suggests \(m - 20\) for part a) and 30 for part b), questioning the correctness of these answers.
  • One participant expresses confusion regarding the book's answers and seeks clarification on their validity.
  • Another participant agrees that the book's answers appear incorrect based on the previous reasoning.

Areas of Agreement / Disagreement

Participants generally agree on the expression \(m + 4\) for the number of pupils after a week, but there is disagreement regarding the answers provided by the book, with some participants questioning their correctness.

Contextual Notes

The discussion highlights potential confusion regarding the interpretation of the problem and the validity of different answers, but does not resolve these uncertainties.

Johnx1
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There were m pupils in a class at first. After a week, 4 more pupils joined the class.

a) Find the number of pupils in the class after a week in terms of m.

my answer: m + 4b) There were 40 pupils in the class after a week. How many pupils were there in the class at first?

my answer: no answer

I'm not sure about this question.
 
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Johnx said:
There were m pupils in a class at first. After a week, 4 more pupils joined the class.

a) Find the number of pupils in the class after a week in terms of m.

my answer: m + 4

Yes, that's good.

Johnx said:
b) There were 40 pupils in the class after a week. How many pupils were there in the class at first?

my answer: no answer

I'm not sure about this question.

Here, they are telling you:

$$m+4=40$$

So, you need to solve for \(m\) to determine how many pupils were there in the class at first (because this is what \(m\) represents).

What do you find?
 
Thanks for the reply

There was a different answer that didn't make any sense to me.

The answer that I was given from the book was.

a) m - 20

b) 30.Is this incorrect?
 
Yes, I don't see how the answers given by your book could possibly be correct.
 

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