The question is: roger is ordering flowers for his cousins wedding. each flower is $1.25 and the delivery charge is $15 dollars no matter how many he orders. how many flowers can he purchase and have delivered if spends a total 80 dollars?

Each flower costs $1.25 and the delivery charge $15. Roger want to spend $80 on flowers. Let x be the number of flowers roger buy.

We can now build up the equation:
80 = 1.25x + 15. We need to solve for x.

Let's subtract 15 from both sides
80 - 15 = 1.25x + 15 - 15
65 = 1.25x
Divide both sides by 1.25 to have x on side and its value on the other
65/1.25 = (1.25x)/1.25
52 = x

So Roger can buy 52 flowers.

Let's check our
1.25x + 15 = 1.25 * 52 + 15 = 65 + 15 = 80.
Our answer has been approved.

Hope this helps! :D