Let's solve each problem step by step from the worksheet.
---
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?"
We know:
- Total land = 1,684 acres
- Each acre needs 16 bags
- Total fertilizer available = 142,518 bags
First, calculate how many bags are needed for all the land:
$$
\text{Bags used} = 1,684 \times 16 = 26,944 \text{ bags}
$$
Now subtract from total available:
$$
\text{Bags left} = 142,518 - 26,944 = 115,574 \text{ bags}
$$
✔ Answer: 115,574 bags
---
Problem 3:
"Each tractor cost $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?"
Break into two parts:
purchase cost and
maintenance cost.
#### Purchase cost:
$$
12 \times 5,672 = 68,064
$$
#### Maintenance cost per tractor for 18 months:
$$
89 \times 18 = 1,592 \text{ per tractor}
$$
For 12 tractors:
$$
12 \times 1,592 = 19,104
$$
#### 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?"
Total land = 1,684 acres
Time per acre = 45 minutes
Total time in minutes:
$$
1,684 \times 45 = 75,780 \text{ minutes}
$$
Convert to hours (divide by 60):
$$
75,780 \div 60 = 1,263 \text{ hours}
$$
✔ 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?"
A fifth means $ \frac{1}{5} $ is rotten.
So, rotten produce:
$$
\frac{1}{5} \times 479,800 = 95,960 \text{ pounds}
$$
Produce left:
$$
479,800 - 95,960 = 383,840 \text{ pounds}
$$
Alternatively, since $ \frac{4}{5} $ is good:
$$
\frac{4}{5} \times 479,800 = 383,840
$$
✔ Answer: 383,840 pounds
---
✔ Final Answers Summary:
1.
354,248 tons
2.
115,574 bags
3.
$87,168
4.
1,263 hours
5.
383,840 pounds
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Parent Tip: Review the logic above to help your child master the concept of 5th grade math word problem worksheet.
