Question

22 students completed 80 puzzles. How many puzzles would 1 student complete? (round to tenth)

Answer 1

step by step 80 / 20

Answer 2

To find out how many puzzles one student would complete, you can divide the total number of puzzles by the number of students:

\[
\text{Puzzles per student} = \frac{\text{Total puzzles}}{\text{Number of students}} = \frac{80}{22}
\]

Calculating that gives:

\[
\frac{80}{22} \approx 3.636363636
\]

Rounding to the tenth, one student would complete approximately:

\[
\text{Puzzles per student} \approx 3.6
\]

So, one student would complete about **3.6 puzzles**.

Answer 3

Sure! Let's go step by step to divide \( 80 \) by \( 22 \).

1. **Set Up the Division**:
We want to divide \( 80 \) by \( 22 \). This can be expressed as:

\[
80 \div 22
\]

2. **Perform the Division**:
Start by seeing how many times \( 22 \) can fit into \( 80 \).

- **Estimate**:
- \( 22 \times 1 = 22 \)
- \( 22 \times 2 = 44 \)
- \( 22 \times 3 = 66 \)
- \( 22 \times 4 = 88 \) (too much)

So, \( 22 \) can fit into \( 80 \) three times.

3. **Multiply**:
Now we multiply \( 22 \) by \( 3 \):

\[
22 \times 3 = 66
\]

4. **Subtract**:
Now subtract \( 66 \) from \( 80 \):

\[
80 - 66 = 14
\]

5. **Write the Remainder**:
Now we have a remainder of \( 14 \).

6. **Add a Decimal**:
Since \( 80 \) is greater than \( 22 \), we can continue dividing by adding a decimal point and a zero to the \( 14 \) to make it \( 140 \):

\[
80.0 \div 22 = 3.0
\]

7. **Continue Division**:
Now determine how many times \( 22 \) fits into \( 140 \):

- \( 22 \times 6 = 132 \)
- \( 22 \times 7 = 154 \) (too much)

So, \( 22 \) fits \( 6 \) times.

8. **Multiply Again**:
Multiply \( 22 \) by \( 6 \):

\[
22 \times 6 = 132
\]

9. **Subtract Again**:
Now subtract \( 132 \) from \( 140 \):

\[
140 - 132 = 8
\]

10. **Add Another Decimal**:
Add to the division result:

\[
80.00 \div 22 \approx 3.6
\]

11. **Repeat for More Precision**:
Add another \( 0 \) to \( 8 \) to make \( 80 \) and continue dividing:

- \( 22 \) fits \( 3 \) times into \( 80 \) (because \( 22 \times 3 = 66 \)).
- Subtract \( 66 \) from \( 80 \):

\[
80 - 66 = 14
\]

12. **Final Result**:
The result we derived from dividing \( 80 \) by \( 22 \) gives us:

\[
80 \div 22 \approx 3.636363636...
\]

When rounded to the nearest tenth, it is \( 3.6 \).

So, the final answer is that one student would complete approximately **3.6 puzzles**.