Ms. Malia bought a laptop with a 10% discount. She also bought a mouse for $13.99 and spent a total of $621.49 before taxes. Write an equation to find the original cost of the laptop, x.

Respuesta :

Answer:

$675

Step-by-step explanation:

Let

x = original price of laptop

Discount = 10%

Actual price paid = x - 10% of x

= x - .10x

= .90x

Cost of mouse = $13.99

Total amount paid = $621.49

Total amount paid = actual cost of laptop + Cost of mouse

621.49 = .90x + 13.99

621.49 - 13.99 = .90x

607.5 = .90x

x = 607.5 / .90

= 675

Original cost of the laptop = $675

The equation to find the original cost of the laptop, x is [tex]0.90x + 13.99 = 621.49[/tex]

What are discounts?

Discounts are used to reduce the price of an item

Given that the discount is 10%, it means that she paid 90% of the price of the laptop (x)

So, the equation that finds the value of x is:

[tex]90\% * x + 13.99 = 621.49[/tex]

Express 90% as a decimal

[tex]0.90 * x + 13.99 = 621.49[/tex]

So, we have:

[tex]0.90x + 13.99 = 621.49[/tex]

Hence, the equation is:

[tex]0.90x + 13.99 = 621.49[/tex]

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