Question

Wacky Wizards wants to print their own spell books and are considering two different printing companies. The companies charge a binding fee plus a price per page in the book. The cost is shown in the tables in the photo

Let x be the number of pages in the spell book and let y be the cost of printing the book. Write the system of equations that will determine the number of pages for which the companies will
harge the same amount.

Answer 1

number of pages = 5

Explanation:

Printer A:

binder fee = 25

fee per page = (385 - 25) ÷ 36

= 10

Therefore,
`\boxed{y=10x+25}`

Printer B:

binder fee = 10

fee per page = (413 - 10) ÷ 31

= 13

Therefore,
`\boxed{y=13x+10}`

System of equations:

`\left \{ {{y=10x+25} \atop {y=13x+10}} \right.`

y = 10x + 25

y = 13x + 10

------------------- (-)

0 = -3x + 15

x = 5