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

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SUMMARY

The total sum of money shared by Kate, Nora, and Devi can be expressed in terms of a variable x, where Kate receives $24, Nora receives $30, and Devi receives $48. The formula for the total sum S is derived as S = 3(24 + x), simplifying to S = 90 when x is calculated as 6. This discussion clarifies the distribution of funds among the three individuals and corrects initial misunderstandings regarding the amounts received.

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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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