Grade 6 Decimal Word Problems worksheet with ten real-world math scenarios involving decimals, illustrated with a cartoon bread chef.
A worksheet titled "Grade 6 Decimal Word Problems" featuring ten math word problems involving decimals, with a cartoon bread character wearing a chef's hat and holding a rolling pin in the top right corner.
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Step-by-step solution for: Decimal Word Problems Worksheets - 15 Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Word Problems Worksheets - 15 Worksheets Library
Here is the solution to each problem from the provided worksheet. I will explain the steps for each question in detail.
---
Problem: Sarah is making a fruit salad and needs to mix 0.75 kilograms of strawberries, 0.5 kilograms of blueberries, and 0.25 kilograms of grapes. How much fruit does she need in total?
Solution:
To find the total amount of fruit, we add the weights of strawberries, blueberries, and grapes:
\[
0.75 + 0.5 + 0.25 = 1.5 \text{ kilograms}
\]
Answer: \( \boxed{1.5} \) kilograms
---
Problem: The original recipe makes 20 cookies and requires 0.75 cups of sugar. If Mark wants to make 35 cookies, how much sugar does he need?
Solution:
First, determine the amount of sugar needed per cookie:
\[
\frac{0.75 \text{ cups}}{20 \text{ cookies}} = 0.0375 \text{ cups per cookie}
\]
Next, calculate the sugar needed for 35 cookies:
\[
0.0375 \times 35 = 1.3125 \text{ cups}
\]
Answer: \( \boxed{1.3125} \) cups
---
Problem: The length of a running track is 1.25 kilometers. If Tim runs 3 laps around the track, how far does he run in total?
Solution:
Multiply the length of one lap by the number of laps:
\[
1.25 \times 3 = 3.75 \text{ kilometers}
\]
Answer: \( \boxed{3.75} \) kilometers
---
Problem: Laura bought 2.5 meters of ribbon to tie balloons for a party. If each balloon requires 0.15 meters of ribbon, how many balloons can she tie?
Solution:
Divide the total length of ribbon by the length required per balloon:
\[
\frac{2.5}{0.15} = 16.6667
\]
Since Laura cannot tie a fraction of a balloon, we round down to the nearest whole number:
\[
16 \text{ balloons}
\]
Answer: \( \boxed{16} \) balloons
---
Problem: A juice recipe calls for a ratio of 1:4 for orange juice to apple juice. If there are 0.6 liters of orange juice, how much apple juice should be used?
Solution:
The ratio 1:4 means that for every 1 part of orange juice, there are 4 parts of apple juice. If there are 0.6 liters of orange juice, then:
\[
\text{Apple juice} = 0.6 \times 4 = 2.4 \text{ liters}
\]
Answer: \( \boxed{2.4} \) liters
---
Problem: A rectangular swimming pool measures 5.25 meters in length and 3.5 meters in width. What is the area of the pool?
Solution:
The area of a rectangle is calculated as:
\[
\text{Area} = \text{length} \times \text{width}
\]
\[
\text{Area} = 5.25 \times 3.5 = 18.375 \text{ square meters}
\]
Answer: \( \boxed{18.375} \) square meters
---
Problem: The library has 3 shelves with books, and each shelf can hold 12.5 kilograms of books. If each book weighs 0.75 kilograms, how many books can be stored on each shelf?
Solution:
To find the number of books per shelf, divide the weight capacity of the shelf by the weight of one book:
\[
\frac{12.5}{0.75} = 16.6667
\]
Since you cannot store a fraction of a book, round down to the nearest whole number:
\[
16 \text{ books per shelf}
\]
Answer: \( \boxed{16} \) books
---
Problem: Lisa is traveling abroad and exchanges 100 US dollars. The exchange rate is 1 US dollar = 0.85 euros. How many euros does she receive?
Solution:
Multiply the amount of US dollars by the exchange rate:
\[
100 \times 0.85 = 85 \text{ euros}
\]
Answer: \( \boxed{85} \) euros
---
Problem: Emma bikes 12.5 kilometers in 0.75 hours. What is her average speed in kilometers per hour?
Solution:
Average speed is calculated as:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
\[
\text{Speed} = \frac{12.5}{0.75} = 16.6667 \text{ km/h}
\]
Rounding to two decimal places:
\[
16.67 \text{ km/h}
\]
Answer: \( \boxed{16.67} \) km/h
---
Problem: Mike wants to buy 3.75 liters of soda for a party. If each bottle contains 0.5 liters, how many bottles does he need to buy?
Solution:
Divide the total amount of soda by the volume of one bottle:
\[
\frac{3.75}{0.5} = 7.5
\]
Since Mike cannot buy half a bottle, he needs to round up to the nearest whole number:
\[
8 \text{ bottles}
\]
Answer: \( \boxed{8} \) bottles
---
1. \( \boxed{1.5} \)
2. \( \boxed{1.3125} \)
3. \( \boxed{3.75} \)
4. \( \boxed{16} \)
5. \( \boxed{2.4} \)
6. \( \boxed{18.375} \)
7. \( \boxed{16} \)
8. \( \boxed{85} \)
9. \( \boxed{16.67} \)
10. \( \boxed{8} \)
---
Boxed Final Answer:
\[
\boxed{1.5, 1.3125, 3.75, 16, 2.4, 18.375, 16, 85, 16.67, 8}
\]
---
1. Fruit Salad
Problem: Sarah is making a fruit salad and needs to mix 0.75 kilograms of strawberries, 0.5 kilograms of blueberries, and 0.25 kilograms of grapes. How much fruit does she need in total?
Solution:
To find the total amount of fruit, we add the weights of strawberries, blueberries, and grapes:
\[
0.75 + 0.5 + 0.25 = 1.5 \text{ kilograms}
\]
Answer: \( \boxed{1.5} \) kilograms
---
2. Recipe Scaling
Problem: The original recipe makes 20 cookies and requires 0.75 cups of sugar. If Mark wants to make 35 cookies, how much sugar does he need?
Solution:
First, determine the amount of sugar needed per cookie:
\[
\frac{0.75 \text{ cups}}{20 \text{ cookies}} = 0.0375 \text{ cups per cookie}
\]
Next, calculate the sugar needed for 35 cookies:
\[
0.0375 \times 35 = 1.3125 \text{ cups}
\]
Answer: \( \boxed{1.3125} \) cups
---
3. Running Track
Problem: The length of a running track is 1.25 kilometers. If Tim runs 3 laps around the track, how far does he run in total?
Solution:
Multiply the length of one lap by the number of laps:
\[
1.25 \times 3 = 3.75 \text{ kilometers}
\]
Answer: \( \boxed{3.75} \) kilometers
---
4. Party Balloons
Problem: Laura bought 2.5 meters of ribbon to tie balloons for a party. If each balloon requires 0.15 meters of ribbon, how many balloons can she tie?
Solution:
Divide the total length of ribbon by the length required per balloon:
\[
\frac{2.5}{0.15} = 16.6667
\]
Since Laura cannot tie a fraction of a balloon, we round down to the nearest whole number:
\[
16 \text{ balloons}
\]
Answer: \( \boxed{16} \) balloons
---
5. Juice Mix
Problem: A juice recipe calls for a ratio of 1:4 for orange juice to apple juice. If there are 0.6 liters of orange juice, how much apple juice should be used?
Solution:
The ratio 1:4 means that for every 1 part of orange juice, there are 4 parts of apple juice. If there are 0.6 liters of orange juice, then:
\[
\text{Apple juice} = 0.6 \times 4 = 2.4 \text{ liters}
\]
Answer: \( \boxed{2.4} \) liters
---
6. Swimming Pool
Problem: A rectangular swimming pool measures 5.25 meters in length and 3.5 meters in width. What is the area of the pool?
Solution:
The area of a rectangle is calculated as:
\[
\text{Area} = \text{length} \times \text{width}
\]
\[
\text{Area} = 5.25 \times 3.5 = 18.375 \text{ square meters}
\]
Answer: \( \boxed{18.375} \) square meters
---
7. Library Books
Problem: The library has 3 shelves with books, and each shelf can hold 12.5 kilograms of books. If each book weighs 0.75 kilograms, how many books can be stored on each shelf?
Solution:
To find the number of books per shelf, divide the weight capacity of the shelf by the weight of one book:
\[
\frac{12.5}{0.75} = 16.6667
\]
Since you cannot store a fraction of a book, round down to the nearest whole number:
\[
16 \text{ books per shelf}
\]
Answer: \( \boxed{16} \) books
---
8. Money Exchange
Problem: Lisa is traveling abroad and exchanges 100 US dollars. The exchange rate is 1 US dollar = 0.85 euros. How many euros does she receive?
Solution:
Multiply the amount of US dollars by the exchange rate:
\[
100 \times 0.85 = 85 \text{ euros}
\]
Answer: \( \boxed{85} \) euros
---
9. Bike Ride
Problem: Emma bikes 12.5 kilometers in 0.75 hours. What is her average speed in kilometers per hour?
Solution:
Average speed is calculated as:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
\[
\text{Speed} = \frac{12.5}{0.75} = 16.6667 \text{ km/h}
\]
Rounding to two decimal places:
\[
16.67 \text{ km/h}
\]
Answer: \( \boxed{16.67} \) km/h
---
10. Party Planning
Problem: Mike wants to buy 3.75 liters of soda for a party. If each bottle contains 0.5 liters, how many bottles does he need to buy?
Solution:
Divide the total amount of soda by the volume of one bottle:
\[
\frac{3.75}{0.5} = 7.5
\]
Since Mike cannot buy half a bottle, he needs to round up to the nearest whole number:
\[
8 \text{ bottles}
\]
Answer: \( \boxed{8} \) bottles
---
Final Answers:
1. \( \boxed{1.5} \)
2. \( \boxed{1.3125} \)
3. \( \boxed{3.75} \)
4. \( \boxed{16} \)
5. \( \boxed{2.4} \)
6. \( \boxed{18.375} \)
7. \( \boxed{16} \)
8. \( \boxed{85} \)
9. \( \boxed{16.67} \)
10. \( \boxed{8} \)
---
Boxed Final Answer:
\[
\boxed{1.5, 1.3125, 3.75, 16, 2.4, 18.375, 16, 85, 16.67, 8}
\]
Parent Tip: Review the logic above to help your child master the concept of decimals word problems worksheet.
