Let's assume
total number of cards =x
Pristine printing business cards:
for $0.10 each plus a setup charge of $15
so, we get equation for cost as
[tex]C=15+0.10x[/tex]
Printing Place business cards:
for $0.15 each with a setup charge of $10
so, we get equation for cost as
[tex]C=10+0.15x[/tex]
now, we are given
cost from both companies are same
so, we can set costs equal
[tex]15+0.10x=10+0.15x[/tex]
now, we can solve for x
[tex]15-10=0.15x-0.10x[/tex]
[tex] 5 =0.05x [/tex]
[tex] x=100 [/tex]
so,
number of business cards is 100.........Answer