Answer: The original price of the sweater was $23.00.
Step-by-step explanation: Given that Tia bought a sweater that was discounted for 20% of the original price and she saved $4.60 with the discount.
We are to find the original price of the sweater.
Let $x be the original price of the sweater.
Then, according to the given information, we have
[tex]20\%\times x=4.60\\\\\Rightarrow \dfrac{20}{100}\timesx=4.60\\\\\\\Rightarrow \dfrac{x}{5}=4.60\\\\\Rightarrow x=4.60\times5\\\\\Rightarrow x=23.[/tex]
Thus, the original price of the sweater was $23.00.
