## Envision Math 4th Grade Textbook Answer Key Topic 1.5 Problem Solving

Problem Solving

Make an Organized List

Arthur is tiling a bathroom wall. He has 520 wall tiles. He wants to arrange them in patterns of hundreds and tens. Using only hundreds and tens blocks, how many ways can he make 520?

Guided Practice*

Do you know HOW?

Question 1.
It costs Celia 50¢ admission to enter the aquarium. How many different ways can Celia pay the admission using only quarters, dimes, and nickels?

Do you UNDERSTAND?

Question 2.
What were the titles for the columns of your list in Problem 1?

Question 3.
Write a Problem Write a problem that you can solve using an organized list.

Independent Practice

Solve.

Question 4.
Using only hundreds blocks and tens blocks, list the ways to show 340.

Question 5.
Simon asked Margaret to guess a number. He gave these hints.

• The number has 3 digits.
• The digit in the 100s place is less than 2.
• The digit in the 10s place is greater than 8.
• The number is even.

What are the possible numbers?

Question 6.
Make a list showing the ways you can make a dollar using only quarters, dimes, and nickels using no more than one nickel and no more than 9 dimes.

Plan
Record the combinations using an organized list.

There are 6 ways to make 520.

Question 7.
Lou’s sandwiches are made with either wheat or white bread and have only one type of cheese—
Swiss, Cheddar, American, or Mozzarella. How many different kinds of sandwiches can Lou make?

Question 8.
A magazine has a total of 24 articles and ads. There are 9 articles. How many ads are there?

Question 9.
Janie is making a bracelet. She has 1 red bead, 1 blue bead, and 1 white bead. How many possible ways can Janie arrange the beads?

Question 10.
Reasoning What two numbers have a sum of 12 and a difference of 4?