All the solutions provided in McGraw Hill My Math Grade 3 Answer Key PDF Chapter 14 Lesson 6 Problem-Solving Investigation: Guess, Check, and Revise will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 3 Answer Key Chapter 14 Lesson 6 Problem-Solving Investigation: Guess, Check, and Revise
Learn the Strategy
Julian has five polygons that have a total of 19 sides. Each polygon has 3 or 4 sides. What are the names of the five polygons?
1. Understand
What facts do you know?
- There are ____________ polygons and a total of ____________ sides.
- The polygons are triangles or quadrilaterals.
What do you need to find?
- Find the ______________ of the five polygons.
2. Plan
Guess, check, and revise to solve the problem.
3. Solve
Make a guess, then check. Revise, if needed.
So, Julian has _____________ triangle and ____________ quadrilaterals.
4. Check
Is my answer reasonable? Explain.
Add the sides of the polygons to check.
__________ + __________ + __________ + __________ + __________ = 19
Answer:
There are 5 polygons and a total of 19 sides.
Find the names of the five polygons.
So, Julian has 1 triangle and 4 quadrilaterals.
Add all the sides they are 3 + 4 + 4 + 4 + 4 = 19.
Practice the Strategy
Jolene spent $23 on scrapbook supplies. How many of each supply did she buy?
1. Understand
What facts do you know?
What do you need to find?
2. Plan
3. Solve
4. Check
Is my answer reasonable? Explain.
Answer:
Jolene spent $23 on scrapbook supplies.
Sticker sheet is $2
Packs of paper is $3
How many of each supply did she buy.
Guess check and revise
$2 x 4 sticker sheet = 8 sticker sheets
$3 x 5 packs of paper = 15 packs of paper.
Therefore the need 8 sticker sheets and 15 packs of paper for scrapbook supplies.
Apply the Strategy
Mathematical PRACTICE Keep Trying Guess, check, and revise to solve each problem.
Question 1.
A toy store sold $67 worth of stuffed animals. They sold 12 stuffed animals. The prices are shown. How many of each size did they sell?
Answer:
Given that,
The cost of the large animal is $6.
The cost of the small animal is $5.
They sold 12 stuffed animals.
The toy store sold the worth of $67.
Here $6 x 7 = $42.
$5 x 5 = $25.
Therefore $42 + $25 = $67.
They sell 7 large size and 5 small size toys.
Question 2.
Ed has some hexagon and square pattern blocks. There are a total of 24 sides. He has 5 blocks. How many of each polygon does he have?
Answer:
Given that,
Ed has some hexagon and square patten blocks.
The total number of sides are 24.
He has 5 blocks.
The pentagon has 5 sides.
The square has 4 sides.
5 x 4 = 20 sides.
4 x 1 = 4 sides.
Therefore the number of polygons are 5 and the number of squares are 1.
Question 3.
There are 30 apples in a basket. Half are red. There are 5 more green apples than yellow apples. How many of each color are there?
Answer:
Given that,
There are 30 apples in a basket.
In that half are red. It means the number of apples are 30/2 = 15.
There are 5 more green apples than yellow apples.
The number of yellow apples are 5.
The number of green apples are 10.
Question 4.
Dawnita has 8 coins. She has quarters, dimes, and nickels. The total is $1. What are the coins?
Answer:
Dawnita has 8 coins That are quarters, dimes, and nickels.
The total is $1.
1 dollar = 100 cents.
1 quarter = 25 cents.
2 quarter = 50 cents
1 nickels = 5 cents.
2 nickels = 10 cents.
1 dime = 10 cents
4 dimes = 40 cents.
Therefore 50 cents + 10 cents + 40 cents = 100 cents.
So, Dawnita has 2 quarter, 2 nickels and 4 dimes.
Question 5.
For lunch, Nadia bought two different items. She spent exactly 70¢. What did she buy?
Answer:
Given that,
Nadia bought two different items. She spent exactly 70¢.
The cost of the box of raisins is 35 cents.
The cost of the apple is 25 cents.
The cost of the granola bar is 45 cents.
The cost of the grilled cheese is 85 cents.
Therefore 25 + 45 = 70 cents.
So, she buys the apple and grilled cheese.
Question 6.
Kira is thinking of two numbers. Their difference is 12 and their sum is 22. What are the numbers?
Answer:
Given that,
Kira is thinking of two numbers.
Their difference is 12 and their sum is 22.
Therefore the number are 17, 5.
The sum of 17 and 5 is 22.
the difference of 17 and 5 is 12.
Review the Strategies
Use any strategy to solve each problem.
- Guess, check, and revise.
- Work backward.
- Draw a diagram.
- Make a table.
Question 7.
Tierra ran 4 blocks to her friend’s house. Then she ran twice as far to the grocery store. How many blocks did she run in all?
Answer:
Given that,
Tierra ran 4 blocks to her friend’s house.
Then she ran twice as far to the grocery store.
Twice of 4 is 4 x 4 =16.
Therefore the total blocks she run in all is 16 + 4 = 20 blocks.
Question 8.
Brady is planning a party. He sends invitations to 3 friends from his soccer team, 5 friends from school, and 9 neighbors. Seven friends tell him they cannot come. How many friends will come to the party?
Answer:
Given that,
Brady is planning a party.
He sends invitations to 3 friends from his soccer team,
5 friends from school, and 9 neighbors.
Seven friends tell him they cannot come.
The total friends invited by brady is 3 + 5 + 9 = 14.
14 – 7 = 7.
Therefore 7 friends will come to the party.
Question 9.
Melissa sees 16 wheels on a total of 6 motorcycles and cars. How many motorcycles and cars are there?
Answer:
Given that,
Melissa sees 16 wheels on a total of 6 motorcycles and cars.
The motorcycles has 2 wheels.
The car has 4 wheels.
6 motorcycles = 6 x 2 = 12 wheels.
12 + 4 = 16.
Therefore there are 6 motor cycles and 1 car.
Question 10.
Mathematical PRACTICE Use Number Sense A picnic table has a length of 6 feet and a width of 4 feet If three tables are pushed together, what is the combined area of the tables?
Answer:
Given that,
The length of the picnic table is 6 feet.
The width of the table is 4.
If the three tables are together then the length of the table is 6 x 3 = 18.
The width of the table is 4.
The table is in the shape of rectangle.
The are of the rectangle is 18 x 4 = 72.
Therefore the a area of the table is 72 feet.
Question 11.
Bishon left home for his friend’s house at 6:15 P.M. He arrived at the house 1 hour 35 minutes later. What time did he arrive? Write the time in words and numbers.
Answer:
Bishon left home for his friend’s house at 6:15 P.M.
He arrived at the house 1 hour 35 minutes later.
6: 15 P.M. + 1: 35 = 7: 50 P.M.
The numbers in words are 7 hours and 50 minutes.
Question 12.
Mathematical PRACTICE Use Math Tools Jerome bought 2 folders and received $1.45 in change in quarters and dimes. If he got 7 coins back, how many of each coin did he get?
Answer:
Given that,
Jerome bought 2 folders and received $1.45 in change in quarters and dimes.
If he got 7 coins back,
1 dollar = 100 cents.
1 quarter = 25 cents.
1 dime = 10 cents.
$1.45 = 145 cents.
5 quarter = 5 x 25 = 125 cents.
2 dimes = 20 cents.
125 cents + 20 cents = 145 cents.
Therefore he got 5 quarter and 2 dimes.
McGraw Hill My Math Grade 3 Chapter 14 Lesson 6 My Homework Answer Key
Problem Solving
Mathematical PRACTICE Make a Plan Guess, check, and revise to solve each problem.
Question 1.
Mei bought two items. She spent exactly 93C. What did she buy?
Answer:
Given that,
Mei bought two items. She spent exactly 93C.
The cost of eraser is 32 cents.
The cost of pencil is 15 cents.
The cost of pen is 20 cents.
The cost of ruler is 61 cents.
Therefore 32 + 61 = 93 cents.
So, she buys eraser and ruler.
Question 2.
A house has 3 windows that are polygons with a total of 13 sides. Two of the windows are the same shape. The third window has one more side than the first two windows. What specific shapes are the windows?
Answer:
Given that,
A house has 3 windows that are polygons with a total of 13 sides.
Two of the windows are the same shape.
The third window has one more side than the first two windows.
If the two windows are in square shape.
The square has 4 sides.
The two windows in square shape is 4 x 2 = 8 sides.
For the third window one more side is extra that is a pentagon.
The pentagon has 5 sides.
The total number of sides of the 2 square windows and 1 pentagon window is 8 + 5 = 13 sides.
Therefore the specific shapes are square and pentagon.
Question 3.
There are 20 crayons in a bag. The crayons are red, yellow, and blue. The number of red crayons is the same as the number of yellow crayons. There are twice as many blue crayons as yellow crayons. How many of each color are there?
Answer:
Given that,
There are 20 crayons in a bag.
The crayons are red, yellow, and blue.
The number of red crayons is the same as the number of yellow crayons. Means the red color has 5 crayons and yellow color has 5 crayons.
There are twice as many blue crayons as yellow crayons Means the blue crayons are 10 in a bag.
Therefore There are 5 red 5 yellow and 10 bule crayons in a bag.
Question 4.
Dolores bought some new pillows. She bought twice as many green pillows as blue pillows, and 1 less red pillow than green pillows. She bought a total of 9 pillows. How many pillows of each color did she buy?
Answer:
Given that,
Dolores bought some new pillows.
She bought twice as many green pillows as blue pillows, and 1 less red pillow than green pillows.
She bought a total of 9 pillows.
If suppose the blue pillow = 2 then twice of blue is green so, green = 4.
The red pillow is 1 less than green pillow that us 3.
Therefore there are 2 blue, 4 green and 3 red pillows he buy.
Question 5.
Andrew has a combination of 8 quarters, dimes, and nickels that add up to a value of 95c. How many of each coin does Andrew have?
Answer:
Given that,
Andrew has a combination of 8 quarters, dimes, and nickels that add up to a value of 95c.
1 quarter = 25 cents.
1 dime = 10 cents.
1 nickels = 5 cents.
Therefore Andrew has 1 quarter 6 dimes and 1 nickels.