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An HP printer costs $180, with printing costs of $0.03 per page. A Samsung printer costs $230, with printing costs of $0.01 per page. How many pages need to be printed for the overall cost to be the same?

Respuesta :

calculista

Answer:

2,500 pages

Step-by-step explanation:

Let

y -----> the overall cost

x -----> the number of pages

we know that

HP printer

[tex]y=0.03x+180[/tex] ------> equation A

Samsung printer

[tex]y=0.01x+230[/tex] -----> equation B

Solve the system by substitution

Substitute equation B in equation A

[tex]0.03x+180=0.01x+230[/tex]

Solve for x

[tex]0.03x-0.01x=230-180\\0.02x=50\\x=2,500\ pages[/tex]

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