Answer: B. [tex]\dfrac{7}{36}\text{ of a pound}[/tex].
Step-by-step explanation:
Given : John made [tex]\dfrac{1}{4}[/tex] of a pound of fudge .
Mary made [tex]\dfrac{1}{3}[/tex] of a pound of fudge.
The sum of two amounts of fudge = [tex]\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3+4}{4\times3}=\dfrac{7}{12}[/tex]
i.e. The sum of two amounts of fudge = [tex]=\dfrac{7}{12}\text{ of a pound}[/tex]
After dividing it into three equal parts , the amount of fudge in one part will be :
[tex]\dfrac{7}{12}\div3=\dfrac{7}{12}\times\dfrac{1}{3}=\dfrac{7}{36}\text{ of a pound}[/tex]
Since , Ricky is planning to keep one portion for himself.
It means , Ricky keeps [tex]\dfrac{7}{36}\text{ of a pound}[/tex].
