The number of boxes of cookies sold by Sarah was 43 fewer than the number of boxes of cookies sold by Keiko.The number of boxes of cookies sold by Imelda was 53 more than the number sold by Keiko. Write algebraic expression for each relatation.

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The number of boxes that Sarah and Imelda have sold are both being compared to that of Keiko.

So, let's assign a variable to the number of boxes sold  y Keiko. Let it be x.

Since the numbers of boxes that Sarah has sold is 43 fewer than x, to express this in math form, subtract 43 from x. It will be:

`x-43`

Also, since the number of boxes sold by Imelda is 53 more than x, then we add 53 and x. So, it will be:

`x+53`

Hence, the algebraic expressions of each relations are:

# of boxes sold by Keiko = x

# of boxes sold by Sarah = x - 43        and

# of boxes sold by Imelda = x + 53  .  

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