The new computer costs $100 more than twice the costs of an older model. if the sum of the costs of the computers is 2800, How much does each computer cost?

Respuesta :

The price of old computer is: $900

and new computer's cost is: $1900

Step-by-step explanation:

Let x be the price of old computer model

Then the price of new computer will be:

[tex]2x+100[/tex]

sum of costs = 2800

so,

[tex]x+2x+100 = 2800\\3x+100 = 2800\\3x = 2800-100\\3x = 2700[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3} = \frac{2700}{3}\\x = 900[/tex]

2x+100 = 2(900)+100 = 1800+100 = $1900

The price of old computer is: $900

and new computer's cost is: $1900

Keywords: Linear equation, variables

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