what number of business cards costs the same from each printer?

Question

Pristine Printing will print business cards for $0.10 each plus a setup charge of $15. The Printing Place offers business cards for $0.15 each with a setup charge of $10. What number of business cards costs the same from each printer?

Answer 1

Pristine Printing will print business cards for $0.10 each plus a setup charge of $15. Let; x = number of cards printed

 

15 + 0.10x = cost of the cards at Pristine printing

 

The Printing Place offers business cards for $0.15 each with a setup charge of $10.

 

10 + 0.15x = cost of cards at Printing place

 

What number of business cards costs the same from each printer?

 

Set the cost at each store equal and solve for x.

 

10 + 0.15x = 15 + 0.10x

 

0.15x - 0.10x = 15 - 10

 

0.05x = 5

 

x = 5/0.05

 

x = 100 cards