Grade 5 Maths Resources (Word Problems Printable Worksheets ... - Free Printable

Let's solve each problem step by step:

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Problem 1:

This year, the harvest doubled last year's harvest. The farmer harvested 177,124 tons of produce last year. How much produce is harvested this year?

#### Solution:
1. Last year's harvest = 177,124 tons.
2. This year's harvest is double last year's harvest.
\[
\text{This year's harvest} = 2 \times 177,124
\]
3. Perform the multiplication:
\[
2 \times 177,124 = 354,248
\]

#### Answer:
\[
\boxed{354,248}
\]

---

Problem 2:

In the storage, there are 142,518 bags of fertilizers. If each acre requires 16 bags of fertilizers, how many bags of fertilizers are left after the farmer uses fertilizers on all his land?

#### Solution:
1. Total acres of land = 1,684 acres.
2. Each acre requires 16 bags of fertilizer.
\[
\text{Total bags used} = 1,684 \times 16
\]
3. Perform the multiplication:
\[
1,684 \times 16 = 26,944
\]
4. Total bags in storage = 142,518.
5. Bags left after using fertilizers:
\[
\text{Bags left} = 142,518 - 26,944
\]
6. Perform the subtraction:
\[
142,518 - 26,944 = 115,574
\]

#### Answer:
\[
\boxed{115,574}
\]

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Problem 3:

Each tractor costs $5,672 to buy and $89 to maintain monthly. If the farmer buys 12 tractors and keeps them for 18 months, how much does it cost him in total?

#### Solution:
1. Cost to buy one tractor = $5,672.
2. Number of tractors bought = 12.
\[
\text{Total cost to buy tractors} = 12 \times 5,672
\]
3. Perform the multiplication:
\[
12 \times 5,672 = 68,064
\]
4. Monthly maintenance cost per tractor = $89.
5. Total monthly maintenance cost for 12 tractors:
\[
\text{Monthly maintenance cost} = 12 \times 89
\]
6. Perform the multiplication:
\[
12 \times 89 = 1,068
\]
7. Total maintenance cost for 18 months:
\[
\text{Total maintenance cost} = 1,068 \times 18
\]
8. Perform the multiplication:
\[
1,068 \times 18 = 19,224
\]
9. Total cost (purchase + maintenance):
\[
\text{Total cost} = 68,064 + 19,224
\]
10. Perform the addition:
\[
68,064 + 19,224 = 87,288
\]

#### Answer:
\[
\boxed{87,288}
\]

---

Problem 4:

It takes 45 minutes to plow each acre of land. How many hours are needed to plow all the land in the farm?

#### Solution:
1. Total acres of land = 1,684 acres.
2. Time to plow one acre = 45 minutes.
3. Total time to plow all acres:
\[
\text{Total time (in minutes)} = 1,684 \times 45
\]
4. Perform the multiplication:
\[
1,684 \times 45 = 75,780 \text{ minutes}
\]
5. Convert minutes to hours (1 hour = 60 minutes):
\[
\text{Total time (in hours)} = \frac{75,780}{60}
\]
6. Perform the division:
\[
\frac{75,780}{60} = 1,263
\]

#### Answer:
\[
\boxed{1,263}
\]

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Problem 5:

There were 479,800 pounds of produce in the storage. But a fifth of the produce is rotten. How much produce is left?

#### Solution:
1. Total produce = 479,800 pounds.
2. A fifth of the produce is rotten:
\[
\text{Rotten produce} = \frac{1}{5} \times 479,800
\]
3. Perform the division:
\[
\frac{479,800}{5} = 95,960
\]
4. Produce left after removing the rotten portion:
\[
\text{Produce left} = 479,800 - 95,960
\]
5. Perform the subtraction:
\[
479,800 - 95,960 = 383,840
\]

#### Answer:
\[
\boxed{383,840}
\]

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Final Answers:

1. \(\boxed{354,248}\)
2. \(\boxed{115,574}\)
3. \(\boxed{87,288}\)
4. \(\boxed{1,263}\)
5. \(\boxed{383,840}\)