As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge of 15%. The price of a book can be modeled by the equation below, where P = the price of the book, 20 is the printing charge, 0.5 is the charge per page, and x = the number of pages:
P = (20 + 0.5x) + 0.15(20 + 0.5x)
Jennifer wants to purchase a book but only has $62.10 to spend. What is the maximum number of pages she can have in her book?

Question

photon336 · Answer

I would first simplify that equation

kinged · Answer

Just substitute 62.10 in "P".

kinged · Answer

Then do the Algebra.

chyara123123 · Answer

I did and it gave me 68. Just wanted to make sure

kinged · Answer

Yep. That's right.

chyara123123 · Answer

Thanks :)

photon336 · Answer

$$20+ \frac{ 1 }{ 2 } x+ 3+(\frac{ 15 }{ 200 }x) = 23+\frac{ 215 }{ 400 }x$$

$$23+\frac{ 575 }{ 1000 }x = 62.10 $$

photon336 · Answer

Just to confirm, yep you're right $$\frac{ 39,100 }{ 575 } = 68$$