LCM & GCF WORD PROBLEMS

Emilio’s family volunteers at the local soup kitchen every 30 days. Emilio has swimming lessons every 9 days. He has both activities this Saturday. When will he have both activities again on the same day?

• In 30 days

• In 45 days

• In 60 days

• In 90 days

Tags

CCSS.6.NS.B.4

Yuko is volunteering at the food bank. He is creating Thanksgiving food baskets to give to local families. He has 192 cornbread muffins, 96 cans of vegetables, and 64 boxes of stuffing mix. What is the greatest number of baskets Yuko can create if he wants to use all of the items and have the same number of each item in each basket? How many of each item will be in a basket?

• 8 baskets with 24 cornbread muffins, 12 cans of vegetables, and 8 boxes of stuffing mix

• 16 baskets with 12 cornbread muffins, 6 cans of vegetables, and 4 boxes of stuffing mix

• 32 baskets with 6 cornbread muffins, 3 cans of vegetables, and 2 boxes of stuffing mix

• 64 baskets with 3 cornbread muffins, 1.5 cans of vegetables, and 1 box of stuffing mix

Tags

CCSS.6.NS.B.4

CCSS.6.RP.A.3

At the middle school, the bell rings every 40 minutes to tell the students to change classes. Across the street the clock above city hall chimes every 30 minutes. Both the school bell and the clock ring at noon. When will both bells ring again at the same time?

• 1:00 PM

• 12:30 PM

• 1:30 PM

• 2:00 PM

Tags

CCSS.6.NS.B.4

Belinda babysits her neighbor’s children in the evening every 14 days. Belinda goes to visit her grandmother in the afternoon every 21 days. Belinda has both activities planned for today. Will Belinda have both activities again on the same day within 30 days? Explain your reasoning.

• Yes, because 14 and 21 have a common multiple within 30 days.

• No, because 14 and 21 do not have a common multiple within 30 days.

• Yes, because both activities will always coincide every 14 days.

• No, because both activities will never coincide again.

Tags

CCSS.6.NS.B.4

Hector is dividing students into groups for a nature hike. He wants to divide the boys and girls so that each group has the same number of both boys and girls. There are 21 boys and 56 girls signed up for the hike. Into how many groups can the students be divided? How many boys and how many girls will be in each group?

• 3 groups, 7 boys and 18 girls in each group

• 7 groups, 3 boys and 8 girls in each group

• 21 groups, 1 boy and 2 girls in each group

• 7 groups, 3 boys and 7 girls in each group

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.3

Ramona is filling window box planters that will be sold to benefit a local charity. She has 56 pansies, 42 tulips, and 28 marigolds. What is the greatest number of planters she can fill if she wants to use all of the flowers and have the same number of each type of flower in each planter? How many of each flower type will be in a planter?

• 7 planters with 8 pansies, 6 tulips, and 4 marigolds each

• 14 planters with 4 pansies, 3 tulips, and 2 marigolds each

• 28 planters with 2 pansies, 1 tulip, and 1 marigold each

• 56 planters with 1 pansy, 1 tulip, and 1 marigold each

Tags

CCSS.6.NS.B.4

CCSS.6.RP.A.3