Go through the Spectrum Math Grade 6 Answer Key Chapter 1 Lesson 1.11 Problem Solving and get the proper assistance needed during your homework.
Spectrum Math Grade 6 Chapter 1 Lesson 1.11 Problem Solving Answers Key
Solve each problem.
Question 1.
A package weighs 2.6 pounds. How much do 8 of the same-sized packages weigh?
The packages weigh ___ pounds.
Answer:
Total number of pounds all packages weighs = 20.8.
=> The packages weigh 20.8 pounds.
Explanation:
Number of pounds a package weighs = 2.6.
Number of same-sized packages weigh = 8.
Total number of pounds all packages weighs = Number of pounds a package weighs × Number of same-sized packages weigh
= 2.6 × 8
= 20.8.
Question 2.
It takes Maxine 0.3 hours to make a potholder. How many potholders can she make in 4.5 hours?
She can make ___________ potholders.
Answer:
Number of potholders can she make in 4.5 hours = 15.
=> She can make 15 potholders.
Explanation:
Number of hours to make a potholder it takes Maxine = 0.3.
Total number of hours = 4.5.
Number of potholders can she make in 4.5 hours = Total number of hours ÷ Number of hours to make a potholder it takes Maxine
= 4.5 ÷ 0.3
= 15.
Question 3.
A box of grass seed weighs 0.62 pounds. How much does a box containing 0.75 times as much grass seed weigh?
The box weighs ____ pounds.
Answer:
Number of pounds a box containing 0.75 times as much grass seed weigh = 0.465.
=> The box weighs 0.465 pounds.
Explanation:
Number of pounds a box of grass seed weighs = 0.62.
Number of times much grass seed weigh = 0.75.
Number of pounds a box containing 0.75 times as much grass seed weigh = Number of pounds a box of grass seed weighs × Number of times much grass seed weigh
= 0.62 × 0.75
= 0.465.
Question 4.
A collection of nickels is worth $18.60. How many nickels are in the collection?
There are ____ nickels in the collection.
Answer:
Number of nickels are in the collection = 372.
=> There are 372 nickels in the collection.
Explanation:
Number of dollars a collection of nickels = 18.60.
Conversion:
1 nickles = 0.05 dollars.
?? nickles = 18.60
=> 1 × 18.60 = 0.05 × ??
=> 18.60 ÷ 0.05 = ??
=> 372 nickles = ??
Question 5.
Mrs. Anderson bought party favors for the 24 students in her class. Each favor costs $2.27. How much did all the party favors cost?
The favors cost ____.
Answer:
Total cost of all the party favors = $54.48.
=> The favors cost $54.48.
Explanation:
Number of students in her class Mrs. Anderson bought party favors = 24.
Cost of each favor = $2.27.
Total cost of all the party favors = Number of students in her class Mrs. Anderson bought party favors × Cost of each favor
= 24 × $2.27
= $54.48.
Question 6.
Each prize for a carnival booth costs $0.32. How many prizes can you buy with $96?
You can buy ____ prizes.
Answer:
Number of prizes can be bought with $96 = 300.
=> You can buy 300 prizes.
Explanation:
Cost of each prize for a carnival booth = $0.32.
Total cost of prizes bought = $96.
Number of prizes can be bought with $96 = Total cost of prizes bought ÷ Cost of each prize for a carnival booth
= $96 ÷ $0.32
= 300.
Question 7.
Brittany has a pack of 24 pencils. Each pencil weighs 0.9 grams. How much does the pack of pencils weigh?
The pack of pencils weighs ____ grams.
Answer:
Number of grams the pack of pencils weigh = 21.6.
=> The pack of pencils weighs 21.6 grams.
Explanation:
Number of pencils a pack of Brittany has = 24.
Number of grams each pencil weighs = 0.9.
Number of grams the pack of pencils weigh = Number of pencils a pack of Brittany has × Number of grams each pencil weighs
= 24 × 0.9
= 21.6.
Solve each problem.
Question 1.
Workers are using a piece of iron that is 0.324 millimeters thick and a piece of copper that is 0.671 millimeters thick. How much thicker is the copper?
The copper is ____ millimeters thicker.
Answer:
Number of millimeters thicker is the copper = 0.347.
=> The copper is 0.347 millimeters thicker.
Explanation:
Number of millimeters thick workers are using a piece of iron = 0.324.
Number of millimeters thick a piece of copper = 0.671.
Number of millimeters thicker is the copper = Number of millimeters thick a piece of copper – Number of millimeters thick workers are using a piece of iron
= 0.671 – 0.324
= 0.347.
Question 2.
Lenora bought a book for $ 12.36 and some school supplies for $7.29 and $5.47. How much did she spend?
She spent ____.
Answer:
Total amount she spent = $25.12.
=> She spent $25.12.
Explanation:
Cost of the book Lenora bought = $12.36.
Cost of the school supplies she bought = $7.29 and $5.47.
Total amount she spent = Cost of the book Lenora bought + Cost of the school supplies she bought
= $12.36 + $7.29 + $5.47
= $19.65 + $5.47
= $25.12.
Question 3.
Joe’s bill at the grocery store came to $6.08. He paid with a ten-dollar bill and a dime. How much change did he get?
He received ____ in change.
Answer:
Amount of change she gets = 40.2 Dimes.
=> He received 40.2 Dimes in change.
Explanation:
Cost of the Joe’s bill at the grocery store = $6.08.
Amount she paid = ten dollar and a Dime.
Conversion:
1 Dollar = 10 Dimes.
=> 10 Dollars = ??
=> 1 × ?? = 10 × 10
=> ?? = 100 Dimes.
Amount she paid = 100 + 1 = 101 dimes.
Conversion:
1 Dollar = 10 Dimes.
6.08 Dollars = ?? Dimes.
=> 1 × ?? = 10 × 6.08
=> ?? = 60.8Dimes.
=> Amount of change she gets = Cost of the Joe’s bill at the grocery store – Amount she paid
= 101 – 60.8
= 40.2 Dimes.
Question 4.
One bottle holds 67.34 ounces and another bottle holds 48.5 ounces. Combined, how much do they hold?
The bottles hold ___ ounces combined.
Answer:
Total number of ounces two bottles holds = 115.84.
=> The bottles hold 115.84 ounces combined.
Explanation:
Number of ounces one bottle holds = 67.34.
Number of ounces another bottle holds = 48.5.
Total number of ounces two bottles holds = Number of ounces one bottle holds + Number of ounces another bottle holds
= 67.34 + 48.5
= 115.84.
Question 5.
A basic stereo system costs $ 189.67. An upgraded model costs $212.09. How much more does the upgraded model cost?
The upgraded model costs ___ more.
Answer:
$22.42 more the upgraded model costs.
=> The upgraded model costs $22.42 more.
Explanation:
Cost of a basic stereo system = $189.67.
Cost of an upgraded model = $212.09.
Difference:
Cost of an upgraded model – Cost of a basic stereo system
= $212.09 – $189.67
= $22.42.
Question 6.
Lin ran 0.683 kilometers on Wednesday and 0.75 kilometers on Thursday. How far did he run on the two days combined?
He ran ____ kilometers over both days.
Answer:
Total number of kilometers he ran on the two days combined = 1.433.
=> He ran 1.433 kilometers over both days.
Explanation:
Number of kilometers on Wednesday Lin ran = 0.683.
Number of kilometers on Thursday Lin ran = 0.75.
Total number of kilometers he ran on the two days combined = Number of kilometers on Wednesday Lin ran + Number of kilometers on Thursday Lin ran
= 0.683 + 0.75
= 1.433.
Question 7.
A certain cabinet door is actually made of three thin boards that are pressed together. The boards are 0.371 inches, 0.13 inches, and 0.204 inches thick. How thick is the cabinet door?
The door is ___ inches thick.
Answer:
Number of inches of thick is the cabinet door = 0.705.
=> The door is 0.705 inches thick.
Explanation:
Number of inches the first board = 0.371.
Number of inches the second board = 0.13.
Number of inches the third board = 0.204.
Number of inches of thick is the cabinet door = Number of inches the first board + Number of inches the second board + Number of inches the third board
= 0.371 + 0.13 + 0.204
= 0.501 + 0.204
= 0.705.