Question

Find ⓐ the amount of discount and ⓑ the sale price:

Sergio bought a belt that was discounted $40$% from an original price of $$29$.

Short answer

If Sergio bought a belt that was discounted $40$% from an original price of $$29$then

(a) The discount amount on the belt was $$11.6$.

(b) The sale price of the belt was $$17.4$.

Step-by-step solution

Step 1. Given information  

Original price $=\$29$

Discount rate$=40$%

Step 2. Part (a)

Consider the amount of discount is d

The amount of discount is $40\%$of localid="1647127477323" $\$29$

localid="1647127480510" $$\begin{gathered} d=0.4\left(29\right) \\ d=11.6 \end{gathered}$$

So the amount of discount on the belt was $localid="1647127483662" $11.6$.

Step 3. Part (b)

Consider sale price is s

Sale price is a difference between the original price and discount amount

$$\begin{gathered} s=29-11.6 \\ s=17.4 \end{gathered}$$

so the sale price of the belt was $$17.4$.