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 \boxed{\textbf{(E) }$50} | + | 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 <math>\boxed{\textbf{(E) }$50}</math>. |
~vsinghminhas | ~vsinghminhas |
Revision as of 15:42, 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 .
~vsinghminhas