Math word problems worksheet with real-life applications involving fractions, measurements, and calculations.
A worksheet titled "Real-life problems" featuring math word problems involving fractions, measurements, and real-world scenarios like baking, measuring a room, and calculating weights. The page includes illustrations of a cake, a measuring tape, and a scale.
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Step-by-step solution for: Real-life problems, working with decimals #2 | 4th grade, 5th ...
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Show Answer Key & Explanations
Step-by-step solution for: Real-life problems, working with decimals #2 | 4th grade, 5th ...
Problem Analysis:
The image contains three real-life problems. Let's solve each one step by step.
---
#### Problem 1: Book Reading
Question:
A boy reads 95 pages of his book a day. How many pages will he have read in 9 days?
Solution:
To find the total number of pages read in 9 days, we multiply the number of pages read per day by the number of days:
\[
\text{Total pages} = \text{Pages per day} \times \text{Number of days}
\]
\[
\text{Total pages} = 95 \times 9
\]
Perform the multiplication:
\[
95 \times 9 = 855
\]
Answer:
\[
\boxed{855}
\]
---
#### Problem 2: Distance Traveled
Question:
After driving 187.2 km, a delivery driver is still 43.8 km from his destination. How long will his trip be?
Solution:
To find the total distance of the trip, we add the distance already traveled to the remaining distance:
\[
\text{Total distance} = \text{Distance traveled} + \text{Remaining distance}
\]
\[
\text{Total distance} = 187.2 + 43.8
\]
Perform the addition:
\[
187.2 + 43.8 = 231.0
\]
Answer:
\[
\boxed{231.0}
\]
---
#### Problem 3: Money Calculation
Question:
Mrs. Eldon has two bottles of perfume. One contains 65.8 ml and the other contains 125.3 ml. How much perfume is there in the two bottles altogether?
Solution:
To find the total amount of perfume, we add the contents of both bottles:
\[
\text{Total perfume} = \text{Perfume in first bottle} + \text{Perfume in second bottle}
\]
\[
\text{Total perfume} = 65.8 + 125.3
\]
Perform the addition:
\[
65.8 + 125.3 = 191.1
\]
Answer:
\[
\boxed{191.1}
\]
---
#### Problem 4: Time Calculation
Question:
A teacher speaks at 2.75 minutes per question. How long does it take her to answer 8 questions?
Solution:
To find the total time taken to answer 8 questions, we multiply the time per question by the number of questions:
\[
\text{Total time} = \text{Time per question} \times \text{Number of questions}
\]
\[
\text{Total time} = 2.75 \times 8
\]
Perform the multiplication:
\[
2.75 \times 8 = 22.0
\]
Answer:
\[
\boxed{22.0}
\]
---
#### Problem 5: Remaining Money
Question:
Tess has €55.53. She spends €14.25 on a coat and €29.84 on a dress. How much money has she left after the end of the week?
Solution:
To find the remaining money, we subtract the total amount spent from the initial amount:
1. Calculate the total amount spent:
\[
\text{Total spent} = \text{Cost of coat} + \text{Cost of dress}
\]
\[
\text{Total spent} = 14.25 + 29.84
\]
Perform the addition:
\[
14.25 + 29.84 = 44.09
\]
2. Subtract the total spent from the initial amount:
\[
\text{Remaining money} = \text{Initial amount} - \text{Total spent}
\]
\[
\text{Remaining money} = 55.53 - 44.09
\]
Perform the subtraction:
\[
55.53 - 44.09 = 11.44
\]
Answer:
\[
\boxed{11.44}
\]
---
#### Problem 6: Remaining Liters
Question:
A shopkeeper had 425.75 L of beer. The first week he sold 298.64 L. How much did he sell over the two weeks?
Solution:
To find how much beer was sold over the two weeks, we need more information about the second week's sales. However, based on the given problem, we can only calculate the remaining beer after the first week:
1. Calculate the remaining beer after the first week:
\[
\text{Remaining beer} = \text{Initial amount} - \text{Beer sold in the first week}
\]
\[
\text{Remaining beer} = 425.75 - 298.64
\]
Perform the subtraction:
\[
425.75 - 298.64 = 127.11
\]
Since the problem asks for the total sold over two weeks but does not provide the second week's sales, we cannot determine the exact total sold. However, if the question intended to ask for the remaining beer after the first week, the answer is:
Answer:
\[
\boxed{127.11}
\]
---
Final Answers:
1. \(\boxed{855}\)
2. \(\boxed{231.0}\)
3. \(\boxed{191.1}\)
4. \(\boxed{22.0}\)
5. \(\boxed{11.44}\)
6. \(\boxed{127.11}\) (remaining beer after the first week)
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals word problems worksheet 6th grade.