1. **State the problem:** We need to find how many paper chains used more than $2 \frac{3}{4}$ containers but less than 4 containers of glitter. 2. **Identify the relevant data:** From the graph description, the counts of paper chains at each glitter amount are: - $2 \frac{1}{2}$: 1 chain - $3 \frac{1}{4}$: 1 chain - $3 \frac{1}{2}$: 1 chain - $3 \frac{3}{4}$: 2 chains - $4$: 1 chain 3. **Determine the range:** We want paper chains with glitter amounts $> 2 \frac{3}{4}$ and $< 4$. 4. **Check which amounts fall in this range:** - $3 \frac{1}{4}$ (which is $3.25$) is greater than $2.75$ and less than 4, so include 1 chain. - $3 \frac{1}{2}$ (3.5) is in the range, include 1 chain. - $3 \frac{3}{4}$ (3.75) is in the range, include 2 chains. - $4$ is not less than 4, so exclude. 5. **Sum the counts:** $1 + 1 + 2 = 4$ paper chains. **Final answer:** $$\boxed{4}$$ paper chains used more than $2 \frac{3}{4}$ but less than 4 containers of glitter.