To find out how many reams of paper Landscape Elementary uses each week, we can divide the total number of reams used in a 3-week period by the number of weeks.
The school uses 14 reams in 3 weeks, so we compute the weekly usage as follows:
\[ \text{Reams per week} = \frac{\text{Total reams}}{\text{Number of weeks}} = \frac{14 \text{ reams}}{3 \text{ weeks}} \]
Now, performing the division:
\[ \frac{14}{3} \approx 4.66667 \]
Rounding this to the nearest hundredth:
\[ 4.67 \]
Therefore, Landscape Elementary uses approximately 4.67 reams of paper each week.