Peter and his friends made dinner reservations at two local restaurants on two different days. While the first restaurant sat all the friends in groups of 3, the second restaurant sat all the friends in groups of 9. What is the smallest number of people that could be in the group?

people

Bruce's Blossoms sells roses in groups of 2. Across town, Carey's Blooms sells roses in groups of 6. 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?

roses

Sharon is making flower arrangements. She has 20 roses and 15 daisies. If Sharon wants to make all the arrangements identical and have no flowers left over, what is the greatest number of flower arrangements she can make?

flower arrangements

The soccer team and the football team are sharing the field for their practices today. The soccer team meets for practice every 5 days, and the football team meets every 4 days. How many days from now will they have to share the field again?

days

Lina has two pieces of thread, one 12 feet long and the other 18 feet long. For a sewing project, she needs to cut them up to produce many pieces of thread that are all of the same length, with no thread left over. What is the greatest length, in feet, that she can make them?

feet

Jake and Wesley make money by walking neighborhood pets. During a conversation about their work, they realize that they are both walking the same total number of pets, even though Jake walks pets in groups of 5 and Wesley walks pets in groups of 6. What is the smallest total number of pets each could be walking?

pets

An event has 7 adults and 14 children. The event planner wants to make each table identical, with the same combination of adults and children and no people left over. What is the greatest number of tables the planner can set up?

tables

Susan is making emergency-preparedness kits to share with friends. She has 12 bottles of water and 18 cans of food, which she would like to distribute equally among the kits, with nothing left over. What is the greatest number of kits Susan can make?

kits

Ben has 9 math books and 12 science books. If he wants to distribute them evenly among some bookshelves so that each bookshelf has the same combination of math and science books, with no books left over, what is the greatest number of bookshelves Ben can use?

bookshelves

Mrs. Hatfield, the math teacher, has 12 logic puzzles and 18 visual puzzles that she wants to group into sets for students who finish their tests early. Mrs. Hatfield wants each set to be identical, containing the same combination of logic puzzles and visual puzzles, with no puzzles left over. What is the greatest number of sets she can create?

sets

Rachel is a dental sales representative who wants to distribute 12 brochures and 20 pamphlets to local dental offices. She wants to deliver the same combination of brochures and pamphlets to each office, without having any materials left over. What is the greatest number of dental offices Rachel can distribute materials to?

offices

Madison Vitamin Shop sold equal quantities of Vitamin A and Vitamin D supplements this morning, even though the Vitamin A supplements come in packs of 11 and the Vitamin D supplements in packs of 6. What is the smallest number of each type that the store could have sold?

supplements

Troy has pieces of construction paper that are 3 centimeters long and 6 centimeters wide. For an art project, he wants to create the smallest possible square, without cutting or overlapping any of the paper. How long will each side of the square be?

centimeters

Nate has 6 forks and 18 knives to place in silverware holders at the fast food restaurant where he works. He wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Nate can stock?

silverware holders

The city of Princeton is honoring 12 mothers and 8 fathers as winners of its "Best Parent" contest. The plan is to take several group photographs, each with the same combination of mothers and fathers and no parents left out. What is the greatest number of photos that can be taken?

photos

Heather is planting 9 bushes and 18 trees in rows. If she wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Heather can plant?

how many rows?

In preparation for a conference, Perry is setting up some stations where people can create their own name tags. He has 8 name tags and 20 pens, which he wants to distribute evenly among the name tag stations with none left over. What is the greatest number of name tag stations that Perry can set up?

name tag stations

David and Ben want to spend the same amount of money at a toy shop. David has 30 dollars while Ben has 26 dollars. What is the highest amount of money they can spend in the shop if they plan to use up all their money

dollars

At a meeting, Kimberly is to serve small chops. She has 16 pieces of spring roll and 14 pieces of samosa to add to the packs. What is the greatest number of identical packs she can make to ensure there is no left over?

packs

Tracy is giving out movie tickets for Avengers and Justice League. She has 4 Avengers tickets and 6 Justice League tickets. What is the highest number of tickets she can give out if she plans to exhaust all tickets, giving each person an equal amount of Avengers ticket and one Justice League ticket?

tickets

Penelope is serving in a small event. She has 36 packs of water and 20 packs of food. Assuming she wants to distribute them with an equal amount of packs of food and water per person without having leftovers, what is the highest amount of people she can serve?

people

Sarah is the secretary in an office. She has 5 cups of coffee and 10 cups of milk to distribute among staff members. If she plans to share it evenly and also exhaust all of them, what is the highest number of staff members she can distribute them to?

staff members

John and James are counting handbills to be shared out. John counts 3 at a time while James counts 4 at a time. if they both count the same total of handbills, what is the smallest number of handbills they could have counted?

handbills

Boxes that are 22 inches tall are being stacked next to boxes that are 16 inches tall. What is the shortest height at which the two stacks will be the same height?

inches

Bridget has swimming lessons every fourth day and diving lessons every third day. If she had a swimming lesson and a diving lesson on May 5, when will be the next date on which she has both swimming and diving lessons?

May

At a family reunion, each of Sana's aunts and uncles is getting photographed once. The aunts are taking pictures in groups of 5 and the uncles are taking pictures in groups of 10. If Sana has the same total number of aunts and uncles, what is the minimum number of aunts that Sana must have?

aunts

Sapphire and Abe are shelving books at a public library. Sapphire shelves 5 books at a time, whereas Abe shelves 6 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved?

books