Question

18. A store is having a 38% off sale on every item. Suppose an item in the store has a price of p dollars. Write asimplified expression to represent the discounted price of an item in the store,

Answer 1

Firstly, to have an expression let us represent the discounted price by D.

The original price is represented by p

and the discount is represented by d.

`\begin{gathered} \text{Discounted price = Original price - Discount} \\ D\text{ = p - d }\ldots\ldots..1 \end{gathered}`

the discount is given to be 38% of the original price.

`\begin{gathered} \text{Discount d = 38\% of p =}(38)/(100)* p \\ d\text{ = 0.38p} \end{gathered}`

substituting d = 0.38p into equation 1, we have;

`\begin{gathered} D\text{ = p - 0.38p = (1-0.38)p} \\ D\text{ = 0.62p} \end{gathered}`

Therefore, the simplified expression to represent the discounted price of an item in the store is;

`D\text{ = 0.62p dollars}`