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

  • Thread starter Thread starter Johnx1
  • Start date Start date
  • Tags Tags
    Money Sum
AI Thread Summary
Kate, Nora, and Devi shared a total sum of money where Kate received $24, Nora received $x more than Kate, and Devi received $2x more than Kate. The total sum can be expressed as S = 72 + 3x. When Nora's amount is specified as $30, it leads to the calculation of x as $6, resulting in a total sum of $90. The discussion emphasizes the importance of correctly interpreting the "more" in the context of their shares. Overall, the calculations demonstrate how to derive the total shared amount based on individual contributions.
Johnx1
Messages
48
Reaction score
0
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
 
Mathematics news on Phys.org
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)
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top