Difference between revisions of "2023 AMC 10B Problems/Problem 2"
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==Solution 2== | ==Solution 2== | ||
| − | We can assign a variable <math>c</math> to represent the original cost of the running shoes. Next we set up the equation <math>80\%\cdot107.5\%\cdot c=43</math>. We can solve this equation for <math>c</math> and get | + | We can assign a variable <math>c</math> to represent the original cost of the running shoes. Next we set up the equation <math>80\%\cdot107.5\%\cdot c=43</math>. We can solve this equation for <math>c</math> and get \boxed{\textbf{(E) }\$50}$. |
~vsinghminhas | ~vsinghminhas | ||
Revision as of 16:42, 15 November 2023
Problem
Carlos went to a sports store to buy running shoes. Running shoes were on sale, with prices reduced by 
on every pair of shoes. Carlos also knew that he had to pay a 
sales tax on the discounted price. He had 
dollars. What is the original (before discount) price of the most expensive shoes he could afford to buy?
Solution 1
Let the original price be 
dollars.
After the discount, the price becomes 
dollars.
After tax, the price becomes 
dollars.
So, 
, 
~Mintylemon66
Solution 2
We can assign a variable 
to represent the original cost of the running shoes. Next we set up the equation 
. We can solve this equation for and get \boxed{\textbf{(E) }$50}$.
~vsinghminhas
