The line plot below shows the number of juice boxes Sandy drank on specific days. On which dates did Sandy drink the most and th
e least number of juice boxes?
A.She drank the most on October 12th and the least on October 2nd
B.She drank the most on October 2nd and the least on October 12th
C.She drank the most on October 12th and the least on October 4th
D.She drank the most on October 4th and the least on October 12th
A.She drank the most on October 12th and the least on October 2nd
B.She drank the most on October 2nd and the least on October 12th
C.She drank the most on October 12th and the least on October 4th
D.She drank the most on October 4th and the least on October 12th
2 answers:
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Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.
The reciprocals of these two even integers can be written as
and 
respectively.
The sum of their reciprocals is 7/24. So we can set up the equation as:
Taking LCM on left hand side:
Cross Multiplying the denominators:
Using the quadratic formula to solve the above equation:
Since, the value of x can only be an integer, we discard the fractional value and keep x=6
So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.
The reciprocals of these two even integers can be written as
The sum of their reciprocals is 7/24. So we can set up the equation as:
Taking LCM on left hand side:
Cross Multiplying the denominators:
Using the quadratic formula to solve the above equation:
Since, the value of x can only be an integer, we discard the fractional value and keep x=6
So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24