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? 7/9 liter 6/7 liter 1 2/7 liters 1 1/2 liters

Explanation:

Step1: Determine amounts of vinegar

Count the number of 'x's at each value on the number - line. There is 1 'x' at 0, 1 'x' at 1, 4 'x's at $1\frac{1}{2}$, and 1 'x' at 2. Calculate the total amount of vinegar.
The amount of vinegar for each group:
For the group with 0 liters: $0\times1 = 0$;
For the group with 1 liter: $1\times1=1$;
For the 4 groups with $1\frac{1}{2}=\frac{3}{2}$ liters each: $4\times\frac{3}{2}=6$;
For the group with 2 liters: $2\times1 = 2$.
The total amount of vinegar $T=0 + 1+6 + 2=9$ liters.

Step2: Divide total by number of jugs

There are 7 lab - groups (jugs). To find the amount of vinegar in each jug when distributed equally, divide the total amount of vinegar by the number of jugs. Let $A$ be the amount in each jug. Then $A=\frac{9}{7}=1\frac{2}{7}$ liters.

Answer:

$1\frac{2}{7}$ liters