MHB How Should We Express the Amount of Money Sandy Received?

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The discussion revolves around how to express the amount of money Sandy received after dividing $100 between her and Ann. If Ann receives X dollars, the correct expression for the amount Sandy receives is $100 - X. The initial suggestions of $200 - X and $200/X are incorrect. The focus is on providing an expression rather than an equation, clarifying the distinction in the problem's requirements. The final consensus is that Sandy's amount is simply the remainder after Ann's share is subtracted from the total.
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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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