Question

for the holidays, sasha decorated some paper chains with glitter. she kept track of how many containers of glitter she used to make each paper chain. use the line plot to answer the question below. amount of glitter used (line plot with xs at 1, 1 1/4, 1 3/8, 1 3/4, 2 as described) what was the total amount of glitter used to make the paper chains? write your answer as a fraction, mixed number, or whole number. blank containers

Explanation:

Step1: List values and counts

• $1$: 2 chains, total: $2 \times 1 = 2$
• $1\frac{1}{4}$: 2 chains, total: $2 \times 1\frac{1}{4} = 2 \times \frac{5}{4} = \frac{10}{4} = \frac{5}{2}$
• $1\frac{3}{8}$: 2 chains, total: $2 \times 1\frac{3}{8} = 2 \times \frac{11}{8} = \frac{22}{8} = \frac{11}{4}$
• $1\frac{3}{4}$: 1 chain, total: $1 \times 1\frac{3}{4} = \frac{7}{4}$
• $2$: 2 chains, total: $2 \times 2 = 4$

Step2: Convert to common denominator (8)

• $2 = \frac{16}{8}$
• $\frac{5}{2} = \frac{20}{8}$
• $\frac{11}{4} = \frac{22}{8}$
• $\frac{7}{4} = \frac{14}{8}$
• $4 = \frac{32}{8}$

Step3: Sum all values

$\frac{16}{8} + \frac{20}{8} + \frac{22}{8} + \frac{14}{8} + \frac{32}{8} = \frac{16+20+22+14+32}{8} = \frac{104}{8}$

Step4: Simplify the fraction

$\frac{104}{8} = 13$

Answer:

13 containers