Question

Translate the following verbal statement into an algebraic equation and then solve : Alex bought a refrigerator on sale for $400, which has two-fifths of the original price. What was the original price of the refrigerator?

Answer 1

Given,

The selling price of the refrigerator is $400.

Required:

The original price of the refrigerator.

Consider,

x is the original price of the refrigerator.

The selling price of the refrigerator is two-fifths of the original price.

According to the question,

$\begin{gathered} two-fifth\text{ of original price = selling price} \\ \frac{2}{5}\times x=\text{ }400 \\ x=400\times\frac{5}{2} \\ x=200\times5 \\ x=1000 \end{gathered}$

Hence, the original price of the refrigerator is $1000.