1985 AJHSME Problems/Problem 14
From AoPSWiki
Problem
The difference between a 
sales tax and a 
sales tax on an item priced at $
before tax is
$
$
$
$
$
Solution
The most straightforward method would be to calculate both prices, and subtract. But there's a better method...
Before we start, it's always good to convert the word problems into expressions, we can solve.
So we know that the price of the object after a increase will be 
, and the price of it after a increase will be 
. And what we're trying to find is 
, and if you have at least a little experience in the field of algebra, you'll notice that both of the items have a common factor, , and we can factor the expression into
is choice 
See Also
| 1985 AJHSME (Problems • Resources) | ||
| Preceded by Problem 13 | Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
