Question

The Science Club wants to print stickers to promote their club and an interest in science. They got a quote to print the stickers from two printers. Pop Art Printing would charge a $25 setup fee and $0.05 per sticker. Sticky Slogans would charge a $12 setup fee and $0.09 per sticker. Write a system of equations that can be used to find the number of stickers for the cost of both printers to be equal.

Answer 1

The system of equations =

25 + 0.05x = 12 + 0.09x

The number of stickers where the cost of both printers to be equal is 325 stickers

Explanation:

Let the number of stickers = x

Printer 1

Pop Art Printing would charge a $25 setup fee and $0.05 per sticker.

$25 + $0.05× x

25 + 0.05x

Printer 2

Sticky Slogans would charge a $12 setup fee and $0.09 per sticker.

$12 + $0.09 × x

12 + 0.09x

We equate both equations together

The system of equations =

25 + 0.05x = 12 + 0.09x

Collect like terms

25 - 12 = 0.09x - 0.05x

13 = 0.04x

x = 13/0.04

x = 325 stickers

Therefore, the number of stickers where the cost of both printers to be equal is 325 stickers