Question

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?

Answer 1

2,500 pages

Explanation:

Let

y -----> the overall cost

x -----> the number of pages

we know that

HP printer

`y=0.03x+180` ------> equation A

Samsung printer

`y=0.01x+230` -----> equation B

Solve the system by substitution

Substitute equation B in equation A

`0.03x+180=0.01x+230`

Solve for x

`0.03x-0.01x=230-180\\0.02x=50\\x=2,500\ pages`