Math Snap

STEP 1

Assumptions1. The sale price of the bookcase is $360.
. The sale price is two-fifths of the original price.

STEP 2

Translate the verbal statement into an algebraic equation. Let's denote the original price as $$. The equation is$$Sale\, price = \frac{2}{5} \times Original\, price$$

STEP 3

Now, plug in the given value for the sale price into the equation.
\($\)360 = \frac{2}{5} \times

STEP 4

To solve for $$, we need to isolate$$ on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of $\frac{2}{}$, which is $\frac{}{2}$.
= \($\)360 \times \frac{}{2}

Calculate the original price, $$.
= \($\)360 \times \frac{5}{2} = \($\)900The original price of the bookcase was $900.