Let's solve each word problem step by step and explain the solution.
---
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:
We need to find the total money made by multiplying the number of blankets sold by the price per blanket.
$$
\text{Total earnings} = \text{Number of blankets} \times \text{Price per blanket}
$$
$$
= 92 \times 49
$$
Now calculate:
$$
92 \times 49 = 92 \times (50 - 1) = (92 \times 50) - (92 \times 1)
$$
$$
= 4600 - 92 = 4508
$$
✔ Answer: Leticia made
$4,508.
---
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?
Step 1: Find the total number of square pieces.
Each chocolate has 12 pieces, and there are 70 chocolates:
$$
\text{Total pieces} = 70 \times 12 = 840
$$
Step 2: There are Peter + 11 cousins = 12 people.
Now divide the total pieces equally among 12 people:
$$
\text{Pieces per person} = \frac{840}{12} = 70
$$
✔ Answer: Each person gets
70 square pieces.
---
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)?
Step 1: Find how many weeks are in 4 years:
$$
4 \times 52 = 208 \text{ weeks}
$$
Step 2: Multiply the number of weeks by cars serviced per week:
$$
14 \times 208 = ?
$$
Break it down:
$$
14 \times 208 = 14 \times (200 + 8) = (14 \times 200) + (14 \times 8)
$$
$$
= 2800 + 112 = 2912
$$
✔ Answer: The mechanic services
2,912 cars in 4 years.
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Problem 4:
Sheryl was organizing buses for a school trip. She had 171 children, 22 teachers & 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?
Step 1: Add up all the people:
$$
171 \text{ (children)} + 22 \text{ (teachers)} + 13 \text{ (parents)} = 206 \text{ people}
$$
Step 2: Each bus holds 20 passengers.
To find how many buses are needed, divide total people by capacity per bus:
$$
\frac{206}{20} = 10.3
$$
Since you can't have a fraction of a bus, round
up to the next whole number →
11 buses.
Step 3: Total seating available in 11 buses:
$$
11 \times 20 = 220 \text{ seats}
$$
Step 4: Subtract the number of people to find spare seats:
$$
220 - 206 = 14 \text{ spare seats}
$$
✔ Answer: Sheryl needs
11 buses, and there will be
14 spare seats for extra luggage.
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✔ Final Answers:
1.
$4,508
2.
70 square pieces each
3.
2,912 cars
4.
11 buses, 14 spare seats
Let me know if you'd like these written out neatly for printing or submission!
Parent Tip: Review the logic above to help your child master the concept of mixed word problems.