Question

A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. Results are shown in the table below, but some values are missing. Fill in the missing values.
Book Preference
Age Group Print Electronic Total
Youths
70-total
Adults
23-elec
Total
58-elec 130-total
Answer
Attempt

can you fill in the blanks i have

Answer 1

To fill in the missing values in the table, let's denote the missing values with variables:

- Let \( Y \) be the number of youths who prefer printed books.
- Let \( A \) be the number of adults who prefer printed books.
- We know the total number of youths is \( 70 \), so the number of youths who prefer electronic books is \( 70 - Y \).
- The number of adults who prefer electronic books is \( 23 \) (given).
- We are also given that \( 58 \) is the number of people preferring electronic books in total.

Let's summarize the information:

### Given Information:

1. **Youths:**
- Total Youths = 70
- Print preference for youths = \( Y \)
- Electronic preference for youths = \( 70 - Y \)

2. **Adults:**
- Print preference for adults = \( A \)
- Electronic preference for adults = \( 23 \)

3. **Total:**
- Total Electronic preference = \( 58 \)
- Total = \( 130 \)

### Equations to Solve:

1. For total electronic preferences:
\[
(70 - Y) + 23 = 58
\]
From this equation, we can solve for \( Y \):
\[
70 - Y + 23 = 58 \implies 93 - Y = 58 \implies Y = 35
\]

Thus, the number of youths who prefer printed books is \( 35 \).

2. Now that we know \( Y = 35 \), the electronic preference for youths is:
\[
70 - Y = 70 - 35 = 35
\]

3. Next, we need to find the total number of adults. We know:
\[
\text{Total} = \text{Total Youths} + \text{Total Adults} \implies 130 = 70 + \text{Total Adults}
\]
Solving for Total Adults gives:
\[
\text{Total Adults} = 130 - 70 = 60
\]

4. Now we have:
- Total adults = 60
- Adults who prefer electronic books = 23
- So, adults who prefer printed = \( A = 60 - 23 = 37 \)

### Summary of Values:
- **Youths:**
- Print: 35
- Electronic: 35
- **Adults:**
- Print: 37
- Electronic: 23
- **Total:**
- Total Print: \( 35 + 37 = 72 \)
- Total Electronic: \( 35 + 23 = 58 \)

All values are consistent with provided totals. The completed values are:

| Age Group | Print | Electronic | Total |
|-----------|-------|------------|-------|
| Youths | 35 | 35 | 70 |
| Adults | 37 | 23 | 60 |
| Total | 72 | 58 | 130 |

So the final filled values are:
- Youths Print: 35
- Youths Electronic: 35
- Adults Print: 37
- Adults Electronic: 23
- Total Youths: 70
- Total Adults: 60
- Total Electronic: 58
- Total Overall: 130