Question

at summer camp this year, clare is leading the beadwork class. each of the 9 craft tables has a bucket of beads. the graph shows the weight of the beads in each bucket. if clare distributes all of the beads equally among the 9 buckets, how much will the beads in each bucket weigh? 7/9 pound 1 pound 1 1/9 pounds 1 2/7 pounds

Explanation:

Step1: Calculate total weight of beads

First, find the total weight of beads by adding up the weights from the dot - plot. There are 3 beads at 0 pounds, 2 beads at $\frac{1}{2}$ pound, 1 bead at 1 pound, 2 beads at $1\frac{1}{2}$ pounds, and 1 bead at 2 pounds. The total weight $W$ is:
\[

$$\begin{align*} W&=3\times0 + 2\times\frac{1}{2}+1\times1 + 2\times1\frac{1}{2}+1\times2\\ &=0 + 1+1+2\times\frac{3}{2}+2\\ &=0 + 1+1 + 3+2\\ &=7\text{ pounds} \end{align*}$$

\]

Step2: Divide total weight by number of buckets

We want to distribute these beads equally among 9 buckets. So we divide the total weight $W = 7$ pounds by 9. The weight per bucket $w$ is $w=\frac{7}{9}$ pounds.

Answer:

$\frac{7}{9}$ pound