Let’s solve each problem one by one, step by step.
---
Problem 1:
> A team of 7 construction workers worked together to build 3 sheds in 10 days. How much of a shed did each of them build?
We are being asked:
How much of a shed did EACH worker build?
First, think about the total work done:
→ They built
3 sheds total.
There are
7 workers, and they all worked together — so we assume they shared the work equally.
So, to find how much each worker built, divide the total number of sheds by the number of workers:
3 ÷ 7 = 3/7
That means each worker built
3/7 of a shed.
✔ Check: If 7 workers each built 3/7 of a shed, then total = 7 × (3/7) = 3 sheds → Correct!
---
Problem 2:
> The construction of an 80-meter bridge was finished in 12 weeks. How much of the bridge was built on average each week?
We want to know:
How many meters were built per week, on average?
Total length = 80 meters
Total time = 12 weeks
Average per week = Total length ÷ Number of weeks
→ 80 ÷ 12
Let’s simplify that fraction:
80 ÷ 4 = 20
12 ÷ 4 = 3
So, 80/12 = 20/3
20 ÷ 3 = 6 and 2/3
So, on average,
6 and 2/3 meters were built each week.
✔ Check: 12 weeks × 6⅔ meters = 12 × (20/3) = (12×20)/3 = 240/3 = 80 meters → Correct!
---
Problem 3:
> A 4-storey building is 29 feet tall. Between which two whole numbers does the height of each storey lie?
We need to find the height of
one storey, assuming all storeys are equal height.
Total height = 29 feet
Number of storeys = 4
Height per storey = 29 ÷ 4
Let’s do the division:
4 × 7 = 28 → too small
4 × 8 = 32 → too big
So, 29 ÷ 4 = 7.25
That means each storey is
7.25 feet tall.
Now, between which two
whole numbers does 7.25 lie?
→ It lies between
7 and 8
✔ Check: 4 storeys × 7.25 ft = 29 ft → Correct!
---
Final Answer:
1. Each worker built
3/7 of a shed.
2. On average,
6⅔ meters of the bridge were built each week.
3. The height of each storey lies between
7 and 8 feet.
Parent Tip: Review the logic above to help your child master the concept of division word problems 5th grade worksheet.
