Find the total sum of money shared by the three girls.

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Discussion Overview

The discussion revolves around a problem involving the distribution of a sum of money among three individuals: Kate, Nora, and Devi. Participants explore how to express the total amount shared in terms of a variable, as well as calculate the total when specific amounts are provided. The scope includes mathematical reasoning and problem-solving.

Discussion Character

  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant states that the total amount shared can be expressed as \(24 + (x + 24) + 2(24)\).
  • Another participant corrects the interpretation of Devi's share, suggesting it should be \(24 + 2x\), leading to the total being \(S = 72 + 3x\).
  • When Nora's amount is specified as $30, one participant calculates \(x\) as 6 and concludes that the total sum is \(S = 90\).
  • There is acknowledgment of a misunderstanding regarding the phrasing of the problem, with participants expressing appreciation for clarity in the thread's presentation.

Areas of Agreement / Disagreement

Participants express differing interpretations of how to calculate Devi's share, leading to different formulations of the total sum. There is no consensus on the correct approach, as participants refine their understanding through discussion.

Contextual Notes

Some assumptions regarding the definitions of "more than" are not fully resolved, which affects the calculations presented. The discussion also reflects varying interpretations of the problem's phrasing.

Johnx1
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Kate, Nora, and Devi shared a sum of money. Kate received 24 dollars and Nora received x dollars more than Kate. Devi received 2x dollars more than kate

a) Find the sum of money shared in terms of x.

my answer: total = 24 + (x+24) + 2(24)b) Nora received $30. Find the total sum of money shared by the three girls.

my answer: 24 + 30 + 48 = 102
 
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Re: How much each recieved

Johnx said:
Kate, Nora, and Devi shared a sum of money. Kate received 24 dollars and Nora received x dollars more than Kate. Devi received 2x dollars more than kate

a) Find the sum of money shared in terms of x.

my answer: total = 24 + (x+24) + 2(24)

You've got Kat and Nora right, but Devi would receive 24 + 2x (that's 2x more than Kate). And so the sum \(S\) would be:

$$S=(24)+(24+x)+(24+2x)=72+3x=3(24+x)$$

Johnx said:
b) Nora received $30. Find the total sum of money shared by the three girls.

my answer: 24 + 30 + 48 = 102

If Nora received \$30, then to find \(x\), we may write:

$$24+x=30\implies x=6$$

And so:

$$S=3(24+6)=90$$

Does that make sense?
 
Re: How much each recieved

MarkFL said:
Does that make sense?
Yes, I miss read the "more" part. Thanks :-)
 
Re: How much each recieved

Johnx said:
Yes, I miss read the "more" part. Thanks :-)

I just wanted to say, I'm really liking the way you title your threads usefully and show your work. (Yes)
 

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