At a local bakery, Leon decorated 2 cakes at a time. Matthew decorated 16 at a time. If they ended up decorating the same number of cakes by the end of the day, what is the smallest number of cakes that each must have decorated?

Owen's Bakery sells muffins in packages of 5 and cookies in packages of 16. Going through yesterday's receipts, a store manager notices that the bakery sold the same number of muffins and cookies yesterday afternoon. What is the smallest number of muffins that the bakery could have sold?

Sharon's Sweets sells doughnuts in packages of 10. Across town, Lewis Pastries sells doughnuts in packages of 2. If Quinn wants to buy the same number of doughnuts from each bakery for a taste test, what is the smallest number of doughnuts she will have to buy from each?

Gabby's Blossoms sells roses in groups of 2. Across town, Baldwin's Blooms sells roses in groups of 18. If a customer wants to buy the same number of roses from both vendors, what is the smallest number of roses the customer will have to buy from each vendor?

Su Lin and Dawn shared some cakes in the ratio 1 : 4. If Dawn bought another 112 cakes, the new ratio of Su Lin's cakes to Dawn's cakes would be 4 : 17. How many cakes did Su Lin have?

The wedding caterer uses the ratio of five pieces of cake for every four guests. If there will be 296 guests, how many pieces of cake will there need to be?