SOLUTION: 1/8 of all wood stoves are sold for cash. If cash sales were at $2,200 for the week, what was the total of all sales?

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Question 620685: 1/8 of all wood stoves are sold for cash. If cash sales were at $2,200 for the week, what was the total of all sales?
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
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STEP I: Define a variable.
Let t be the amount of total sales for the week.
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STEP II: Use the information in the problem to write an equation modeling the situation.
In algebra, "1/8 are cash sales" can b written as (1/8)t. Since the cash sales were $2,200, we write
%281%2F8%29t=2200
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STEP III: Solve for t by multiplying both sides of the equation by 8 (the reciprocal of 1/8).
t=2200%2A8
t=17600
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In the context of this problem, t=17,600 means that the total of all sales is $17,600.
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Hope tis helps. Feel free to email me if you still have questions about this.
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Ms.Figgy
math.in.the.vortex@gmail.com