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Grade 5 math worksheet featuring four word problems on basic operations, including sales, sharing, service rates, and transportation planning.

Grade 5 Four Operations Word Problem Worksheet 2 with four math word problems involving multiplication, division, and real-life scenarios.

Grade 5 Four Operations Word Problem Worksheet 2 with four math word problems involving multiplication, division, and real-life scenarios.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 Word Problems | Free Printables | Worksheets
Let's solve each problem step by step:

---

Problem 1:


Leticia started an online store selling handmade blankets. She sold 92 blankets in her first month. How much did she make if each blanket cost $49?

#### Solution:
1. Identify the given information:
- Number of blankets sold: 92
- Cost per blanket: $49

2. Set up the equation:
\[
\text{Total earnings} = \text{Number of blankets sold} \times \text{Cost per blanket}
\]
\[
\text{Total earnings} = 92 \times 49
\]

3. Perform the multiplication:
\[
92 \times 49 = 92 \times (50 - 1) = (92 \times 50) - (92 \times 1)
\]
\[
92 \times 50 = 4600
\]
\[
92 \times 1 = 92
\]
\[
4600 - 92 = 4508
\]

4. Final answer:
\[
\boxed{4508}
\]

---

Problem 2:


Peter bought a box of 70 chocolates. Each chocolate had 12 square pieces on it. He wants to split the pieces up between himself and his 11 cousins. How many square pieces do they each get?

#### Solution:
1. Identify the given information:
- Number of chocolates: 70
- Pieces per chocolate: 12
- Total number of people: Peter + 11 cousins = 12 people

2. Calculate the total number of pieces:
\[
\text{Total pieces} = \text{Number of chocolates} \times \text{Pieces per chocolate}
\]
\[
\text{Total pieces} = 70 \times 12 = 840
\]

3. Determine how many pieces each person gets:
\[
\text{Pieces per person} = \frac{\text{Total pieces}}{\text{Total number of people}}
\]
\[
\text{Pieces per person} = \frac{840}{12} = 70
\]

4. Final answer:
\[
\boxed{70}
\]

---

Problem 3:


A local mechanic on average services 14 cars a week. How many cars does he service over 4 years (52 weeks in a year)?

#### Solution:
1. Identify the given information:
- Cars serviced per week: 14
- Weeks per year: 52
- Number of years: 4

2. Calculate the total number of weeks in 4 years:
\[
\text{Total weeks} = \text{Weeks per year} \times \text{Number of years}
\]
\[
\text{Total weeks} = 52 \times 4 = 208
\]

3. Calculate the total number of cars serviced:
\[
\text{Total cars serviced} = \text{Cars serviced per week} \times \text{Total weeks}
\]
\[
\text{Total cars serviced} = 14 \times 208
\]

4. Perform the multiplication:
\[
14 \times 208 = 14 \times (200 + 8) = (14 \times 200) + (14 \times 8)
\]
\[
14 \times 200 = 2800
\]
\[
14 \times 8 = 112
\]
\[
2800 + 112 = 2912
\]

5. Final answer:
\[
\boxed{2912}
\]

---

Problem 4:


Sheryl was organizing buses for a school trip. She had 171 children, 22 teachers, and 13 parents. A bus could take 20 passengers. How many buses would she need and how many spare seats would be left for extra luggage?

#### Solution:
1. Identify the given information:
- Number of children: 171
- Number of teachers: 22
- Number of parents: 13
- Capacity of each bus: 20 passengers

2. Calculate the total number of passengers:
\[
\text{Total passengers} = \text{Children} + \text{Teachers} + \text{Parents}
\]
\[
\text{Total passengers} = 171 + 22 + 13 = 206
\]

3. Determine the number of buses needed:
- Since each bus can hold 20 passengers, we divide the total number of passengers by the bus capacity and round up to the nearest whole number.
\[
\text{Number of buses} = \left\lceil \frac{\text{Total passengers}}{\text{Bus capacity}} \right\rceil
\]
\[
\text{Number of buses} = \left\lceil \frac{206}{20} \right\rceil
\]
\[
\frac{206}{20} = 10.3
\]
- Rounding up, we get 11 buses.

4. Calculate the total seating capacity of 11 buses:
\[
\text{Total seating capacity} = \text{Number of buses} \times \text{Bus capacity}
\]
\[
\text{Total seating capacity} = 11 \times 20 = 220
\]

5. Determine the number of spare seats:
\[
\text{Spare seats} = \text{Total seating capacity} - \text{Total passengers}
\]
\[
\text{Spare seats} = 220 - 206 = 14
\]

6. Final answer:
\[
\boxed{11 \text{ buses, 14 spare seats}}
\]

---

Final Answers:


1. \(\boxed{4508}\)
2. \(\boxed{70}\)
3. \(\boxed{2912}\)
4. \(\boxed{11 \text{ buses, 14 spare seats}}\)
Parent Tip: Review the logic above to help your child master the concept of division word problems 5th grade worksheet.
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