Grade 6 Math Word Problems: Tips, Tricks, and Answers - Free Printable

Let's solve each of the multi-step word problems one by one and explain the solution clearly.

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Problem 1:

Mary’s marriage to John last weekend was very wonderful. 20 private cars and 12 buses were parked outside the hall. After the ceremony, each bus carried 35 people and each private car carried 3 people. How many people were in the hall?

#### Step-by-step Solution:

We need to find the total number of people who came in buses and private cars.

- Number of buses = 12
Each bus carries 35 people
So, total people from buses = $ 12 \times 35 $

$$
12 \times 35 = 420
$$

- Number of private cars = 20
Each car carries 3 people
So, total people from cars = $ 20 \times 3 $

$$
20 \times 3 = 60
$$

Now, add both:

$$
420 + 60 = 480
$$

✔ Answer: There were 480 people in the hall.

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Problem 2:

On Monday, Matty worked for 450 minutes in his office. On Tuesday, he worked half the number of minutes he worked on Monday. On Wednesday, he worked only half a day which was 300 minutes. How many more minutes did he work on Wednesday than Tuesday?

#### Step-by-step Solution:

- Monday: 450 minutes
- Tuesday: Half of Monday = $ \frac{1}{2} \times 450 = 225 $ minutes
- Wednesday: 300 minutes (given)

Now, find how many more minutes he worked on Wednesday than Tuesday:

$$
300 - 225 = 75
$$

✔ Answer: He worked 75 more minutes on Wednesday than on Tuesday.

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Problem 3:

Miss Jane runs a small poetry farm. Her ten arctic chickens laid an average of twelve eggs each, per week. She sold those eggs for $2 per dozen. How much money did she get in four weeks if she sold all her eggs?

#### Step-by-step Solution:

First, find total eggs laid per week:

- 10 chickens × 12 eggs each = $ 10 \times 12 = 120 $ eggs per week

Now, over 4 weeks:

$$
120 \text{ eggs/week} \times 4 \text{ weeks} = 480 \text{ eggs}
$$

She sells eggs at $2 per dozen.
One dozen = 12 eggs

So, number of dozens in 480 eggs:

$$
\frac{480}{12} = 40 \text{ dozens}
$$

Money earned:

$$
40 \text{ dozens} \times \$2 = \$80
$$

✔ Answer: She earned $80 in four weeks.

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✔ Final Answers:

1. 480 people
2. 75 more minutes
3. $80

Let me know if you'd like these explained in simpler terms or with diagrams!