1 Skills and Worksheets Algebra: LCM Problem Solving 5Th Grade Page 1

Name______Date ______

1. Brighton Local Airport has a flight leaving 5. One trip around a running track is 440 yards. for New York every 4 days and a flight leaving One jogger can complete one lap in 8 minutes; for North Carolina every 6 days. If a flight to The other can complete it in 7 minutes. How New York and a flight to North Carolina leave long will it take for both joggers to arrive at the on the same day, how many more days will it starting point together if they start at the same be before a flight to New York and a flight to time and maintain their jogging pace? North Carolina leave again on the same day?

2. Bernice washes her hair every 9 days. Her 6. Clarence is a bodybuilder. He lifts weights sister, Tameeka washes her hair every 5 days. every 2 days and runs every 3 days. He lifted If they both washed their hair today, how many weights and ran today. In how many more days more days will it be before they wash their hair will he lift weights and run? again on the same day?

3. The grocery store receives a shipment of 7. The textile machine produces a sheet of French bread every 3 days. The store white fabric every 7 minutes. It produces a receives a shipment of pita bread every 6 sheet of pink fabric every 9 minutes. In how days. Both shipments were received today. In many more minutes will both colors of fabric be how many more days will both shipments be produced? received on the same day?

4. Tony and his three friends go to the store 8. The doctors at St. Peter’s Hospital deliver a and find a deal on packages of 6 tacos. They baby boy about every 2 hours. They deliver a want to buy the minimum number of packages baby girl about every 4 hours. A baby boy and a so they each get the same number of tacos baby girl were just born at about the same time. and none are left over. How many packages In about how many hours should the doctors must they buy? expect to deliver both a baby girl and a baby boy?

1 Skills and Worksheets Algebra: LCM Problem Solving 5th Grade Page 1. © 2003 Teaching That Works: www.teachingthatworks.com Revised 4/8/2018 Teachers may reproduce as needed for students in their class Name______Date ______

1. Ameriplane Local Airport has a flight 5. One trip from the park to the pool is 500 leaving for Philadelphia every 5 days and a yards. One runner can make the trip in 5 flight leaving for Baltimore every 6 days. If a minutes; The other can make it in 9 minutes. flight to Philadelphia and a flight to Baltimore How long will it take for both runners to arrive at leave on the same day, how many more days the pool together if they start from the park at will it be before the two flights leave again on the same time and maintain their jogging pace? the same day?

2. Kennard washes his car every 3 days. His 6. Elisabeth is a teacher. She reviews fractions brother, Keith, washes his car every 5 days. If with her students every 3 days. She also they both washed their cars today, how many reviews algebra every 4 days. Today, she more days will it be before they wash their reviewed both fractions and algebra. In how cars again on the same day? many more days will she review both fractions and algebra on the same day?

3. Footlocker gets a shipment of Nikes every 2 7. The textile machine produces a sheet of weeks. The store gets a shipment of Addidas white fabric every 3 minutes. It produces a every 4 weeks. Both shipments were received sheet of pink fabric every 8 minutes. In how today. In how many more days will both many more minutes will both colors of fabric be shipments be received on the same day? produced?

4. Alpha Kappa Alpha Sorority, Inc. holds a 8. The doctors at St. Peter’s Hospital deliver a Regional Conference every year. The sorority baby boy about every 7 hours. They deliver a holds a National Conference every 2 years. baby girl about every 9 hours. A baby boy and a The Regional Conference and the National baby girl were just born at about the same time. Conference were both held in 2006. In what In about how many hours should the doctors year will they both be held in the same year expect to deliver both a baby girl and a baby again? boy?

1. Rita’s Italian Ice stand gives away free 5. One trip around a running track is about 400 Italian Ice every 3 months. Its competition, yards. One jogger can complete one lap in 5 Marco’s Snow balls, gives away free snow minutes; The other can complete it in 6 balls every 4 months. Both gave away free minutes. How long will it take for both joggers to products in February 2008. When is the next arrive at the starting point together if they start at time both competitors will be giving away free the same time and maintain their jogging pace? products?

2. Corey is buying hotdogs and hotdog buns 6. Cynthia is preparing for a marathon. To for a class picnic. Hot dogs come in packages prepare for the upcoming race, she does of 8. Hotdog buns come in packages of 6. aerobic exercises every 3 days and runs every 2 What is the smallest number of hotdogs and days. Cynthia did aerobics and ran today. In buns Corey can buy if he wants to have an how many more days will she do aerobics and equal number of each? run?

3. The grocery store receives a shipment of 7. Two transportation services, bus and train, French bread every 3 days. The store arrive at a station. The bus arrives at the station receives a shipment of pita bread every 6 every 7 minutes. The train arrives at the station days. Both shipments were received today. In every 5 minutes. The bus and the train just how many more days will both shipments be arrived at the station together at 8:00 A.M. At received on the same day? what time will both services arrive at the station together again?

4. Mya and her 4 friends go to the store and 8. Patricia has a garden of exotic and rare find a deal on packages of 8 donuts. They flowers. Patricia’s blue flowers bloom every 3 want to buy the minimum number of packages years. Her pink flowers bloom every 4 years. so they each get the same number of donuts Both types of flowers bloomed in 2000. In what and none are left over. How many packages year will they both bloom at the same time must they buy? again?

1. Rita’s Italian Ice stand gives away free 5. One trip around a running track is about 400 Italian Ice every 4 months. Its competition, yards. One jogger can complete one lap in 9 Marco’s Snow balls, gives away free snow minutes; The other can complete it in 7 balls every 6 months. Both gave away free minutes. How long will it take for both joggers to products in January 2007. When is the next arrive at the starting point together if they start at time both competitors will be giving away free the same time and maintain their jogging pace? products?

2. Samantha is buying hotdogs and hotdog 6. James is preparing for a boxing match. To buns for a class picnic. Hot dogs come in prepare for the upcoming match, he lifts weights packages of 8. The store only has small every 2 days and runs every 3 days. James packages of hotdog buns that come in lifted weights and ran on Monday. What is the packages of 4. What is the smallest number next day that he will lift weights and run on the of hotdogs and buns Samantha can buy if she same day again? wants to have an equal number of each?

3. Kelly loves to watch Rachel Ray on the 7. Marco earns $20 for every 2 hours he works. Cooking Channel and “First 48” on A&E. Jim earns $20 for every 3 hours he works. How Rachel Ray’s cooking show airs every 4 hours many hours would both men have to work in and “First 48” airs every 2 hours. Both shows order to earn the same amount? just came on. In how many hors will they both be on at the same time again?

4. Mike and his 2 friends go to the mall and 8. Aleya has a garden of exotic and rare find a sale on packages of 5 white tees. They flowers. Aleya’s purple flowers bloom every 5 want to buy the minimum number of packages years. Her white flowers bloom every 3 years. so they each get the same number of white Both types of flowers bloomed in 2008. In what tees and none are left over. How many year will they both bloom at the same time packages should they buy? again?

1 Skills and Worksheets Algebra: LCM Problem Solving 5th Grade Page 4. © 2003 Teaching That Works: www.teachingthatworks.com Revised 4/8/2018 Teachers may reproduce as needed for students in their class