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Question
mrs. jacksons science class is learning about how baking soda and vinegar create a chemical reaction. each of the 7 lab groups has a jug of vinegar. the graph shows how much vinegar was left in each jug after class. amount of vinegar if mrs. jackson distributes all of the vinegar equally among the 7 jugs, how much will be in each jug? $\frac{7}{9}$ liter $\frac{6}{7}$ liter $1\frac{2}{7}$ liters $1\frac{1}{2}$ liters
Step1: Determine the amount of vinegar in each jug from the graph
There is 1 jug with 0 liters, 1 jug with 1 liter, 4 jugs with $1\frac{1}{2}=\frac{3}{2}$ liters, and 1 jug with 2 liters.
Step2: Calculate the total amount of vinegar
The total amount $T$ is $0\times1 + 1\times1+4\times\frac{3}{2}+2\times1$. First, $4\times\frac{3}{2}=6$. Then $T=0 + 1+6 + 2=9$ liters.
Step3: Divide the total amount by the number of jugs
We divide the total 9 liters by 7 jugs. So the amount in each jug is $\frac{9}{7}=1\frac{2}{7}$ liters.
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$1\frac{2}{7}$ liters