## Envision Math 3rd Grade Textbook Answer Key Topic 1.6 Problem Solving

Problem Solving

Make an Organized List
Randy is playing a game called Guess the Number. What are all the possible numbers that fit the clues shown at the right?

Question.
You can make an organized list to find all the possible numbers.
Clues

• It is a 3-digit even number.
• The digit in the hundreds place is greater than 8.
• The digit in the tens place is less than 2.

Guided Practice

Do you know HOW?
Make an organized list to solve.
Question 1.
Rachel has a quarter, a dime, a nickel, and a penny. She told her brother he could take two coins. List all the different pairs of coins her brother can take.

Do you UNDERSTAND?
Question 2.
Writing to Explain How did making an organized list help you solve Problem 1 ?

Question 3.
Write a Problem Write and solve a real-world problem by making an organized list.

Independent Practice

For 4 and 5, make an organized list to solve.
Question 4.
List all the 4-digit numbers that fit these clues.

• The thousands digit is less than 2.
• The hundreds digit is greater than 5.
• The tens digit and ones digit both equal 10 – 5.

Question 5.
Jen, Meg, and Emily are standing in line at the movies. How many different ways can they line up? List the ways.

Plan
What the clues tell us:

Solve
Make an organized list to find all the possible numbers.
900      910
902      912
904      914
906      916
908      918

For 6-8, use the table.

Question 6.
How many different kinds of sandwiches can you choose if you want white bread?

Question 7.
How many different kinds of sandwiches can you choose if you don’t want turkey?

Question 8.
Suppose wheat bread was added as a bread choice. How many different kinds of sandwiches could you choose then?

Question 9.
Jeremy has tan pants and black pants. He also has three shirts: blue, green, and red. List all the different outfits that Jeremy can wear.

Question 10.
Dennis bought a 3-pound bag of apples for $3. He also bought some grapes for$4. How much did Dennis spend?

Question 11.
How many different ways can you make 15 cents using dimes, nickels, or pennies?
A. 15 ways
B. 9 ways
C. 6 ways
D. 3 ways
Carla bought 4 sheets of poster board. Each sheet cost $2. She paid with a$10 bill. Carla cut each sheet into 2 pieces. How many pieces does Carla have?