Larissa has a completely filled jar of jam that contains
of jam. She has three other jars with the same size. Of those jars,
1 jar is 2/3 filled with jam,
1/2 filled with jam, and
1 jar is 3/4 filled with jam.
Which of the following is the most reasonable estimate for the amount of jam that is in all 4 jars?
Responses
A 60 oz
B 80 oz
C 120 oz
D 160 oz
C 120 oz
The average fill level of the jars is (1 + 2/3 + 1/2 + 3/4) / 4 = (12/12 + 8/12 + 6/12 + 9/12) / 4 = 35/12 = 2.92.
Since the smallest jar is completely filled, we can estimate the total amount of jam in all 4 jars to be around 2.92 times the volume of one jar, which is 60 oz. (assuming all jars have the same volume).
Therefore, the most reasonable estimate for the amount of jam in all 4 jars would be 120 oz.