Section D Section D Checkpoint

Problem 1

Jada buys 30 tulip bulbs and 40 daffodil bulbs. Her plan is to plant all the bulbs in groups. She wants the groups to be identical and each group to have both types of flowers.

List three different ways Jada can group the flowers.

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Solution
Sample responses:
  • 1 group with 30 tulips and 40 daffodils
  • 2 groups, each with 15 tulips and 20 daffodils
  • 5 groups, each with 6 tulips and 8 daffodils
  • 10 groups, each with 3 tulips and 4 daffodils
Show Sample Response
Sample Response
Sample responses:
  • 1 group with 30 tulips and 40 daffodils
  • 2 groups, each with 15 tulips and 20 daffodils
  • 5 groups, each with 6 tulips and 8 daffodils
  • 10 groups, each with 3 tulips and 4 daffodils

Problem 2

Pencils are sold in packages of 12, and erasers are sold in packages of 9. Kiran wants to buy the same number of erasers as pencils. 

  1. Find a number of pencils and erasers that will meet Kiran’s requirement. How many packages of pencils and how many packages of erasers will Kiran need to buy? 

  2. Find a different number of pencils and erasers that also meets Kiran’s requirement. Explain your reasoning.

Show Solution
Solution
  1. Sample response: Kiran can have 36 pencils and 36 erasers if he buys 3 packages of pencils and 4 packages of erasers. (Any multiple of 36 pencils and erasers is also correct.)
  2. Sample response: Kiran could also have 72 pencils and 72 erasers if he bought 6 packages of pencils and 8 packages of erasers.
Show Sample Response
Sample Response
  1. Sample response: Kiran can have 36 pencils and 36 erasers if he buys 3 packages of pencils and 4 packages of erasers. (Any multiple of 36 pencils and erasers is also correct.)
  2. Sample response: Kiran could also have 72 pencils and 72 erasers if he bought 6 packages of pencils and 8 packages of erasers.