How Should We Express the Amount of Money Sandy Received?

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Discussion Overview

The discussion revolves around how to express the amount of money Sandy received when one hundred dollars is divided between Ann and Sandy. Participants explore the formulation of an expression based on the amount Ann receives, considering both mathematical expressions and the interpretation of the problem.

Discussion Character

  • Homework-related, Mathematical reasoning, Debate/contested

Main Points Raised

  • One participant initially suggests two possible expressions for Sandy's amount: 200 - X and 200/X.
  • Another participant clarifies that if X represents the amount Ann receives, then the correct expression for Sandy's amount (Y) should be derived from the equation X + Y = 100, leading to Y = 100 - X.
  • A later reply challenges the initial suggestions, stating that both proposed expressions are incorrect and reiterates that Sandy's amount should be expressed as 100 - X.
  • There is a disagreement regarding the nature of the response given by another participant, with one asserting that the response was an equation rather than an expression, which they believe is what the original question asked for.

Areas of Agreement / Disagreement

Participants express differing views on the correct mathematical expression for Sandy's amount, with no consensus reached on the initial suggestions. There is also a disagreement about the nature of the responses provided, indicating a lack of agreement on how to interpret the original question.

Contextual Notes

Participants have not fully resolved the definitions of "expression" versus "equation," which affects their interpretations of the problem. The discussion also reflects varying assumptions about the clarity of the original question.

DawnC
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Problem that I am not sure that I am doing right

One hundred dollars was divided between Ann and Sandy. If Ann received X dollars, write expression for the amount that Sandy would relieved.

Would it be 200 - X or 200/X?
 
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Given that $X$ represents the amount Ann is to receive, let's let $Y$ be the amount Sandy will receive. Since the total amount (in dollars) to be divided between the two is 100, we then know the sum of the two amounts is 100:

$$X+Y=100$$

Now, solve for $Y$. :D
 
Thank you
 
DawnC said:
Problem that I am not sure that I am doing right

One hundred dollars was divided between Ann and Sandy. If Ann received X dollars, write expression for the amount that Sandy would relieved.

Would it be 200 - X or 200/X?

Both the options given by you are wrong.
Out of 100, if Ann received $x$ dollars, Sandy received the remaining dollars (obviously). Removing $x$ dollars from 100 will give the remaining dollars.
An expression for the dollars that Sandy received will be $100-x$ .
I have posted this solution because I don't agree with Mark for one small reason. The question says "give an expression for amount left with Sandy". But, Mark has given an equation.
 
phymat said:
...I have posted this solution because I don't agree with Mark for one small reason. The question says "give an expression for amount left with Sandy". But, Mark has given an equation.

I was helping the OP solve the problem, not simply do it for them. :D
 

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