Jana owns and operates an independent flower shop. To help sell more flowers (and cut down on waste), she offers a daily special of bouquets or corsages created from "leftovers" from larger orders.
With today's batch of leftovers, Jana decides to try 4 flowers in each bouquet, but she has three extra flowers left. To make pricing easier, she wants the specials to be the same size, so she tries making the bouquets with 7 flowers each... but then there are two flowers left. If she makes bundles of 8 flowers, she has three flowers left.
What is the smallest possible number of flowers that Jana has to work with?
With the number of flowers determined above, how many bouquets or corsages and of what size can Jana make?
Do you think that Jana would ever have enough leftovers that it wouldn't matter if she chose to make bouquets of 7, 8, or 9 flowers? (Don't forget - Jana doesn't want to waste a single flower.)
