We included HMH Into Math Grade 5 Answer Key PDF Module 15 Lesson 6 Solve Problems Using Bar Models to make students experts in learning maths.
HMH Into Math Grade 5 Module 15 Lesson 6 Answer Key Solve Problems Using Bar Models
I Can use a bar model to solve a multistep problem that uses multiplication.
Step It Out
Question 1.
The table shows the mass, in grams, of two different balls. What is the combined mass of 2 baseballs and 3 softballs?
Use a bar model to represent the problem.
A. Draw a bar model that shows the mass of 2 baseballs.
- Label each bar.
- What is the mass of 2 baseballs?
Answer:
Total mass of baseballs = 283.50 grams.Explanation:
Number of base balls = 2.
Mass of each baseball = 141.75 grams.
Total mass of baseballs = Number of base balls × Mass of each baseball
= 2 × 141.75
= 283.50 grams.
B. Draw a bar model that shows the mass of 3 softballs.
- Label each bar.
- What is the mass of 3 softballs?
Answer:
Total mass of softballs = 595.35 grams.
Explanation:
Number of softballs = 3.
Mass of each softballs = 198.45 grams.
Total mass of softballs = Number of softballs × Mass of each softballs
= 3 × 198.45
= 595.35 grams.
C. Draw a bar model to show the combined mass of the 2 baseballs and 3 softballs.
Answer:
Explanation:
Total mass of softballs = Number of softballs × Mass of each softballs
= 3 × 198.45
= 595.35 grams.
Total mass of baseballs = Number of base balls × Mass of each baseball
= 2 × 141.75
= 283.50 grams.
D. What is the mass of 2 baseballs and 3 softballs?
Answer:
Total mass of baseballs = 283.50 grams.
Total mass of baseballs = 595.35 grams.
Explanation:
Number of base balls = 2.
Mass of each baseball = 141.75 grams.
Total mass of baseballs = Number of base balls × Mass of each baseball
= 2 × 141.75
= 283.50 grams.
Number of softballs = 3.
Mass of each softballs = 198.45 grams.
Total mass of softballs = Number of softballs × Mass of each softballs
= 3 × 198.45
= 595.35 grams.
Turn and Talk How would your bar model change if you were to compare the masses of 2 baseballs and 3 softballs?
Answer:
I have set the bar graph where the numbers in an order which will show the mass of 2 baseballs and 3 softballs.
Explanation:
I have set the bar graph where the numbers in an order which will show the mass of 2 baseballs and 3 softballs.
Question 2.
Shamir goes to the sporting goods store. He buys 3 cans of tennis balls. Each can costs $3.87. Shamir pays for his purchase with a $20 bill. How much change should the sales clerk give him?
Use a bar model to represent the problem.
A. Draw a bar model that shows the cost of 3 cans of tennis balls. Label each bar.
Answer:
Total cost of cans he buys = $11.61.
Explanation:
Number of cans of tennis balls he buys = 3.
Cost of each can of tennis balls = $3.87.
Total cost of cans he buys = Number of cans of tennis balls he buys × Cost of each can of tennis balls
= 3 × $3.87
= $11.61.
B. What is the cost of the three cans of tennis balls?
Answer:
Total cost of cans he buys = $11.61.
Explanation:
Number of cans of tennis balls he buys = 3.
Cost of each can of tennis balls = $3.87.
Total cost of cans he buys = Number of cans of tennis balls he buys × Cost of each can of tennis balls
= 3 × $3.87
= $11.61.
C. Draw a bar model that compares the cost of three cans of tennis balls to $20. Label each bar.
Answer:
Explanation:
Total cost of cans he buys = $11.61.
Difference:
$20 – Total cost of cans he buys
= $20 – $11.61
= $8.39.
D. How much change should the sales clerk give to Shamir? Explain how you know.
Answer:
Amount of money change he gets back = $8.39.
Explanation:
Total cost of cans he buys = $11.61.
Amount of money he gives to clerk = $20.
Difference:
Amount of money change he gets back = Amount of money he gives to clerk – Total cost of cans he buys
= $20 – $11.61
= $8.39.
Turn and Talk How do bar models help you to identify what operations to use?
Answer:
Bar models helps to identify what operations to use easily because it gives clear picture about the problem and find the solution.
Explanation:
Bar models helps to identify what operations to use easily because it gives clear picture about the problem and find the solution.
Check Understanding
Use the table and make a bar model for 1 and 2.
Question 1.
What is the combined weight of 1 volleyball and 3 golf balls?
Answer:
The combined weight of 1 volleyball and 3 golf balls = 14.41 ounces.
Explanation:
Weight of volley balls = 9.55 ounces.
Number of volley balls = 1.
Weight of golf balls = 1.62 ounces.
Number of golf balls = 3.
Weight of all balls = (Weight of volley balls × Number of volley balls) + (Weight of golf balls × Number of golf balls)
= (9.55 × 1) + (1.62 × 3)
= 9.55 + 4.86
= 14.41 ounces.
Question 2.
How much more do 2 volleyballs weigh than 9 golf balls?
Answer:
4.52 ounces more 2 volleyballs weigh than 9 golf balls.
Explanation:
Weight of volley balls = 9.55 ounces.
Number of volley balls = 2.
Weight of golf balls = 1.62 ounces.
Number of golf balls = 9.
Weight of volleyballs = Weight of volley balls × Number of volley balls
= (9.55 × 2)
= 19.1 ounces.
Weight of golf balls = Weight of golf balls × Number of golf balls
= 1.62 × 9
= 14.58 ounces.
Difference:
Weight of volleyballs – Weight of golf balls
= 19.1 – 14.58
= 4.52 ounces.
On Your Own
Make a bar model to solve.
Question 3.
A giraffe can cover one mile in about 6,4 minutes. An elephant can cover one mile in about 8.2 minutes. About how much longer will it take the elephant to cover 3 miles than the giraffe?
Answer:
5.4 minutes longer it takes the elephant to cover 3 miles than the giraffe.
Explanation:
Number of minutes a giraffe can cover one mile = 6.4 minutes.
Number of minutes an elephant can cover one mile = 8.2 minutes.
Number of minutes it takes the elephant to cover 3 miles = 3 × Number of minutes an elephant can cover one mile
= 3 × 8.2
= 24.6.
Number of minutes it takes the giraffe to cover 3 miles = 3 × Number of minutes a giraffe can cover one mile
= 3 × 6.4
= 19.2.
Difference:
Number of minutes it takes the elephant to cover 3 miles – Number of minutes it takes the giraffe to cover 3 miles
= 24.6 – 19.2
= 5.4.
Use a bar model for 4-6.
Question 4.
The mass of a baseball is 141.75 grams. The mass of a basketball is 623.7 grams. How much greater is the mass of a basketball than the mass of 3 baseballs?
Answer:
198.45 grams greater is the mass of a basketball than the mass of 3 baseballs.
Explanation:
Mass of a baseball = 141.75 grams.
Mass of a basketball = 623.7 grams.
Mass of 3 baseballs = 3 × Mass of a baseball
= 3 × 141.75
= 425.25 grams.
Difference:
Mass of a basketball – Mass of a baseball
= 623.7 – 425.25
= 198.45 grams.
Question 5.
Jenny gets paid $12.25 per hour. She worked 6 hours this week. How much more does she need to work to earn to have a total of $100?
Answer:
2.16 hours more she needs to work to earn to have a total of $100.
Explanation:
Amount of money Jenny gets paid = $12.25 per hour.
Number of hours she works in a week = 6.
Number of hours she needs works to earn total of $100 = $100 ÷ Amount of money Jenny gets paid
= $100 ÷ $12.25
= 8.16 hours.
Difference:
= 8.16 hours – 6 hours
= 2.16 hours.
Question 6.
Juanita buys 4 bags of red mulch, 1 bag of brown mulch, and a 3.25-pound bag of potting soil. If a bag of red mulch weighs 8.5 pounds and a bag of brown mulch weighs 6.75 pounds, what is the weight of Juanita’s purchases?
Answer:
Weight of bags Juanita buys = 44 pounds.
Explanation:
Number of bag of red mulch Juanita buys = 4.
Weight of bag of red mulch Juanita buys = 8.5 pounds.
Number of bag of brown mulch Juanita buys = 1.
Weight of bag of brown mulch Juanita buys = 6.75 pounds
Number of bag of potting soil Juanita buys = 1.
Weight of bag of potting soil Juanita buys = 3.25 pounds.
Weight of bags Juanita buys = (Number of bag of red mulch Juanita buys × Weight of bag of red mulch Juanita buys) + (Number of bag of brown mulch Juanita buys × Weight of bag of brown mulch Juanita buys) + (Number of bag of potting soil Juanita buys × Weight of bag of potting soil Juanita buys)
= (4 × 8.5) + (1 × 6.75) + (1 × 3.25)
= 34 + 6.75 + 3.25
= 40.75 + 3.25
= 44 pounds.