Difference between revisions of "AoPS Wiki talk:Problem of the Day/June 26, 2011"
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==Solutions== | ==Solutions== | ||
| − | { | + | Let <math>x</math> equal the cost of the calculator before sales tax (the "base price"). The amount of sales tax can be represented as <math>0.07x</math> since it is given as <math>7</math> percent. We know that the final price of the calculator, which is equal to the sum of the base price of the calculator and the amount of sales tax, is <math>13.91</math>. Thus, <math>x + 0.07x = 13.91</math>, or <math>1.07x=13.91</math>. Dividing both sides by <math>1.07</math>, we get <math>x=\boxed{13.00}</math>. |
Latest revision as of 19:00, 26 June 2011
Problem
AoPSWiki:Problem of the Day/June 26, 2011
Solutions
Let 
equal the cost of the calculator before sales tax (the "base price"). The amount of sales tax can be represented as 
since it is given as 
percent. We know that the final price of the calculator, which is equal to the sum of the base price of the calculator and the amount of sales tax, is 
. Thus, 
, or 
. Dividing both sides by 
, we get 
.
