Let's solve each problem step by step from the worksheet.
---
Given:
There is
1,684 acres of land in a farm.
---
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:
If this year’s harvest
doubled last year’s, then:
$$
\text{This year's harvest} = 2 \times 177,124 = 354,248 \text{ tons}
$$
✔ Answer: 354,248 tons
---
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?
Step 1: Find how many bags are used for 1,684 acres.
$$
\text{Bags used} = 1,684 \times 16 = 26,944 \text{ bags}
$$
Step 2: Subtract from total bags in storage:
$$
\text{Bags left} = 142,518 - 26,944 = 115,574 \text{ bags}
$$
✔ Answer: 115,574 bags
---
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?
Step 1: Cost to buy 12 tractors:
$$
12 \times 5,672 = 68,064
$$
Step 2: Monthly maintenance per tractor for 18 months:
$$
89 \times 18 = 1,592 \text{ per tractor}
$$
Step 3: Total maintenance for 12 tractors:
$$
12 \times 1,592 = 19,104
$$
Step 4: Total cost:
$$
68,064 + 19,104 = 87,168
$$
✔ Answer: $87,168
---
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?
Step 1: Total time in minutes:
$$
1,684 \times 45 = 75,780 \text{ minutes}
$$
Step 2: Convert minutes to hours:
$$
75,780 \div 60 = 1,263 \text{ hours}
$$
✔ Answer: 1,263 hours
---
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?
Step 1: A fifth means $ \frac{1}{5} $ is rotten.
$$
\text{Rotten produce} = \frac{1}{5} \times 479,800 = 95,960 \text{ pounds}
$$
Step 2: Good produce left:
$$
479,800 - 95,960 = 383,840 \text{ pounds}
$$
✔ Answer: 383,840 pounds
---
✔ Final Answers:
1.
354,248 tons
2.
115,574 bags
3.
$87,168
4.
1,263 hours
5.
383,840 pounds
Let me know if you'd like these explained further or formatted differently!
Parent Tip: Review the logic above to help your child master the concept of 5th grade math word problems.
