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The final cost of an item was $50. This included 6% sales tax. What was the price of the item before tax?
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47
oh no!
x + 0.06x = 50 1.06x=50 x= 47.17
to increase a number by 6% multiply it by 1.06
so you know \[1.06P=50\] and therefore \[P=50\div1.06\]
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50 = X + 0.06*X
you cannot take 6% of 50 and subtract because 6% of 50 is more than 6% of the original price
you can of course also start with \[50=P+.06P\] but then by the distributive law you know that this is the same as \[50=(1.06)P\] so easiest to start with \[1.06P=50\]
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