All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 8 Lesson 7 Problem-Solving Investigation: Make an Organized List will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 8 Lesson 7 Problem-Solving Investigation: Make an Organized List
Learn the Strategy
Eva is giving away 8 stamps. Each friend will get an equal number of stamps. How many friends could get the stamps?
1. Understand
What facts do you know?
Eva is giving away ____ stamps to her friends.
She will give each friend an equal number of stamps.
What do you need to find?
the number of ___ to which she could give stamps
2. Plan
I will make an organized list to see the ways I can divide ___ evenly.
3. Solve
Divide the total number of stamps by the numbers 1 through 8.
So, Eva can give
___, ___, ____ or ____ friends an equal number of stamps.
4. Check
Does your answer make sense? Explain.
Answer:
Eva is giving away 8 stamps to her friends.
The number of friends to which she could give stamps.
I will make an organized list to see the ways I can divide 8 evenly.
Divide the total number of stamps by the numbers 1 through 8.
So, Eva can give
8, 4, 2, 1 friends an equal number of stamps.
Practice the Strategy
Ian is numbering the pages of his journal 1 through 48. He wants to start a new section after every 8 pages. On what pages will each new section begin?
1. Understand
What facts do you know?
__________________
__________________
What do you need to find?
__________________
2. Plan
__________________
__________________
3. Solve
4. Check
Does your answer make sense? Explain.
__________________
Answer:
Given that,
Ian is numbering the pages of his journal 1 through 48.
He wants to start a new section after every 8 pages.
8 x 1 = 8
8 x 2 = 16.
8 x 3 = 24.
8 x 4 = 32.
8 x 5 = 40.
8 x 6 = 48.
Known add 1 to every product.
The new pages started after very 8 pages are 9, 17, 25, 33, 41.
Apply the Strategy
Solve each problem by making an organized list.
Question 1.
Mathematical PRACTICE 5 Use Math Tools Grade bought a goldfish at the pet store. She had only one nickel, one dime, and one quarter in her wallet. How much could her goldfish have cost?
Answer:
Given that,
Grade bought a goldfish at the pet store.
She had only one nickel, one dime, and one quarter.
1 nickel = 5 cents.
1 dime = 10 cents.
1 quarter = 25 cents.
The cost of gold fish is 5 + 10 + 25 = 40 cents.
Therefore the cost of gold fish could have 40 cents or less than 40 cents.
Question 2.
Mathematical PRACTICE 8 Look for a Pattern Stuart wants to know how many times he gets an even number as a product of his 6s multiplication facts. When multiplying by 6, are the products odd or even?
_______________________
_______________________
Is the same true about quotients when dividing by 6? Explain.
_______________________
Answer:
The product of 6s multiplication facts multiplied by 6 is
6 x 6 = 36.
36 is the product.
The number 36 is an even.
Review the Strategies
Use any strategy to solve each problem.
- Determine extra or missing information.
- Make a table.
- Look for a pattern.
- Use models.
Question 3.
Paula put 6 books on one side of a balance scale that is 3 feet long. On the other side, she put 5 books and her baseball glove. The sides balanced. Each book weighs 3 pounds. How much does her glove weigh?
Answer:
Given that,
Paula put 6 books on one side of a balance scale that is 3 feet long.
The weight of the each books is 3 pounds.
The weight of books at one side is 3 x 6 = 18 pounds.
On the other side, she put 5 books and her baseball glove.
The weight of books at other side is 5 x 3 = 15 pounds.
Both sides the weight is balanced.
So, 18 – 15 = 3 pounds.
Therefore the glove has 3 pounds.
Question 4.
Jonas has 6 fish tanks with 6 fish in each tank. After he sold some, he had 27 fish left. How much did each fish cost if he made $63?
Answer:
Given that,
Jonas has 6 fish tanks with 6 fish in each tank.
After he sold some, he had 27 fish left.
The cost of sold fishes are $63.
The total number of fishes in the tank are 6 x 6 = 36.
The number of fishes sold are 36 – 27 = 9 fishes.
The cost of each fish is $63/9 = $7.
Therefore the cost of each fish is $7.
Question 5.
Mathematical PRACTICE 4 Model Math Angelina’s mother knits gloves and mittens that are red, blue, green, or brown. How many different colors of gloves and mittens can she knit? Explain.
Answer:
Given that,
Angelina’s mother knits gloves and mittens that are red, blue, green, or brown.
The number of colors are 4.
So, she can knits four colors.
Because there are 4 colors there is a possible way to use the 4 colors.
Question 6.
Mathematical PRACTICE 1 Make a Plan A group of 16 people want to go to the zoo. It costs $30 for each group of 6 people. Otherwise, it costs $6 per person. How much does it cost for 16 people?
Answer:
Given that,
A group of 16 people want to go to the zoo.
There are 6 people in each group.
The cost of each group is $30.
The cost of each person is $6.
16 people can written has 2 groups + 4 persons.
So, $30 + $30 + $6 + $6 + $6 + $6 = $84.
Therefore the cost for 16 people are $84.
McGraw Hill My Math Grade 3 Chapter 8 Lesson 7 My Homework Answer Key
Problem Solving
Solve each problem by making an organized list.
Question 1.
Paul needs 34 cents. He has only dimes and pennies. How many ways can he make 34 cents using both kinds of coin? Explain.
Answer:
Given that,
Paul needs 34 cents.
He has only dimes and pennies.
1 dime = 10 cents.
1 penny = 1 cents.
The number of ways that he make 34 cents using both kinds of coins are
1 dime 24 pennies.
2 dimes 14 pennies.
3 dimes 4 pennies.
Question 2.
Camille rides a bus to work. To get downtown, she can ride any bus number between 11 and 34, that can be divided evenly by 3, and is an even number. Which numbers are the buses that Camille could ride to work?
Answer:
The numbers between the 11 and 34 that divided by 3 are 12, 15, 18, 21, 24, 27, 30 33.
Among this the even numbers are 12, 18, 24, 30.
Therefore these are the four bus numbers that Camille could ride to work.
Question 3.
Bruce is grocery shopping. He can go to the deli, the bakery, and the dairy section in any order. How many possibilities are there for the order in which Bruce can do his shopping?
Answer:
Given that,
Bruce is grocery shopping.
He went to the deli, the bakery, and the dairy section in any order.
The number of sections are 3.
The number of possibilities in order are 6.
They are,
Deli, bakery, dairy section.
Bakery, dairy section, deli.
Dairy section, deli, bakery.
Dairy section, bakery, deli.
Deli, dairy section, bakery.
Bakery, deli, dairy section.
Question 4.
Flora has 5 boxes that increase in size. In the first box she packs 4 books. In each box after that, she packs 3 more books than the box before. How many books does Flora pack in the last box?
Answer:
Given that,
Flora has 5 boxes that increase in size.
In the first box she packs 4 books.
In the second box she packs 3 more than the first box it is 4 + 3 = 7.
In the third box 3 more than second box it is 7 + 3 = 10.
In the fourth box 3 more than third box it is 10 + 3 = 13.
In the fifth box 3 more than fourth box it is 13 + 3 = 16.
Therefore there are 16 books in the fifth box.
Question 5.
Mathematical PRACTICE 3 Justify Conclusions A mouse makes itself a new nest every 2 weeks. It uses 8 large leaves to line each nest. How many leaves will the mouse have used after 6 weeks? Explain.
Answer:
Given that,
A mouse makes itself a new nest every 2 weeks.
A mouse uses 8 large leaves to line each nest.
The number of leaves that mouse used for 8 weeks are 8 x 6 = 24.
Therefore for 6 weeks the mouse use 24 leaves.