Question

Chloe wants to make a scrapbook with old family photos. An online scrapbooking company charges $45 plus $1 per page. Meanwhile, a family friend is willing to make a scrapbook for $9 plus $4 per page. For a certain number of pages, the prices would be equal. How many pages would that be? How much would Chloe be charged?

Answer 1

The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57

Explanation:

x = PER page

y = total

Online scrapbooking equation:

y = 45 + x

Family friend equation:

y = 9 + 4x

Where prices (y) would be equal:

y = 45 + x (Multiply this by -4)

y = 9 + 4x

y = 9 + 4x

-4y = -180 - 4x

-3y = -171

y = 57

y = 45 + x

-y = -9 - 4x

0 = 36 - 3x

3x = 36

x = 12