ANSWER
The original price of the shoes was $50
EXPLANATION
The original price of the shoe corresponds to 100℅.
A discount of 20℅ means the reduced price of the shoe corresponds to 80℅.
Let the original price be [tex]x[/tex].
If we find 80% of x, we should get the price at which he bought the shoes.
This means that;
[tex]\frac{80}{100}x=40[/tex]
We solve for x,
[tex]x=\frac{100\times40}{80}[/tex].
We multiply the numerator to obtain,
[tex]x=\frac{4000}{80}[/tex]
[tex]\Rightarrow x=50[/tex].
Therefore the original price was $50
Answer: The required original price of the shoes was $50.
Step-by-step explanation: Given that Joachim bought a pair of shoes for $40, which was a 20% discount.
We are to find the original price of the shoes.
Let $x represents the original price of the shoes.
Then, according to the given information, we have
[tex]x-20\%\times x=40\\\\\Rightarrow x-\dfrac{20}{100}\times x=40\\\\\Rightarrow x-\dfrac{x}{5}=40\\\\\Rightarrow \dfrac{4x}{5}=40\\\\\Rightarrow 4x=200\\\\\Rightarrow x=\dfrac{200}{4}\\\\\Rightarrow x=50.[/tex]
Thus, the required original price of the shoes was $50.
