Since roger needs to serve at least one hot dog per guest, and he has 78 guests, he needs to buy enough packages to feed everyone. Each package contains 8 hot dogs, if we divide the number of guests by the number of hot dogs in each package, we should find how many packages he should buy.
He needs to buy at least 9.75 packages, since he wouldn't be able to buy 0.75 packages, he'll need to buy at least 10 packages.