To find out how many reams of paper Landscape Elementary uses each week, we can divide the total number of reams used by the number of weeks.
Given that they use 14 reams of paper every 3 weeks, we can calculate the weekly usage as follows:
\[ \text{Weekly usage} = \frac{14 \text{ reams}}{3 \text{ weeks}} \approx 4.6667 \text{ reams/week} \]
Now, rounding this to the nearest hundredth:
\[ 4.6667 \approx 4.67 \]
Therefore, Landscape Elementary uses approximately 4.67 reams of paper each week.