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 <math>\boxed{\textbf{(E) }\$50}</math>. | + | 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 16:47, 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