Two weeks before an examination day, a librarian monitored the number of students who visited the library. Then they compared it with the number of visits made in an average week. Approximately 2×103

Question

2
×
10
3
visits were reflected in their logbook during this two-week period, while only about 5×102
5
×
10
2
were reflected on an average week. How many times higher is the number of library visits before examination day compared to the library visits in an average week? Your answer should be a whole number.

Answer 1

To determine how many times higher the number of library visits before the examination day is compared to visits in an average week, we need to compare the total visits recorded during the two-week period (2 × 10^3 visits) to the average weekly visits (5 × 10^2 visits).

1. Calculate the total visits for two weeks: \[ 2 \times 10^3 = 2000 \text{ visits} \]

2. Calculate the average weekly visits: \[ 5 \times 10^2 = 500 \text{ visits} \]

3. Now, we will find out how many times the two-week visits exceeds the average week visits: \[ \text{Ratio} = \frac{\text{Total visits in 2 weeks}}{\text{Average weekly visits}} = \frac{2000}{500} \]

4. Perform the division: \[ \frac{2000}{500} = 4 \]

Therefore, the number of library visits before examination day is 4 times higher than the average weekly visits.