Zenaida is shopping and wants to purchase a $320 stereo system. The store is offering an incentive of 10 to 30 percent off when you spin the discount wheel. Zenaida spins the wheel and receives 20 percent off. How much will the stereo system cost?

Respuesta :

The stereo system costs $256.

Step-by-step explanation:

Given:

Cost of the stereo system = $320.  

The discount Zenaida received = 20%.  

To Find:

Cost of the stereo system after the discount=?

Solution:

Step1:  Finding the discount amount:

Discount percentage =20

Discount amount = original cost × discount percent

Substituting the values,

[tex]\text { Discount amount }=320 \times 20 \%[/tex]

[tex]\text { Discount amount }=320 \times \frac{20}{100}[/tex]

[tex]\text { Discount amount }=320 \times \frac{1}{5}[/tex]

[tex]\text { Discount amount }=320 \times 0.2[/tex]

[tex]\text { Discount amount }=64[/tex]

Step 2: Removing the discounted amount from the original price

Final cost of the stereo system =original cost of the stereo system –discount amount

Substituting the values we get,

Final cost=320-64

Final cost=256

Result:

Thus the cost of the stereo system after discount is $256

Answer: it would cost 256