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

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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.
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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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