Given that number of pounds of berries that Jessica bought = [tex]\frac{3}{4}[/tex] lb
Given that "Mary bought [tex]\frac{1}{6}[/tex] lb of berries less the jessica"
then number of pounds of berries that Mary bought
[tex]=(\frac{3}{4}-\frac{1}{6})[/tex] lb
[tex]=\frac{3}{4}\cdot\frac{3}{3}-\frac{1}{6}\cdot\frac{2}{2}[/tex] lb
[tex]=\frac{9}{12}-\frac{2}{12}[/tex] lb
[tex]=\frac{7}{12}[/tex] lb
Now we need to find the total weight of berries in pounds that they bought.
To find that we just need to add both values.
[tex]\frac{3}{4}+\frac{7}{12}[/tex]
[tex]=\frac{3}{4}\cdot\frac{3}{3}+\frac{7}{12}[/tex]
[tex]=\frac{9}{12}+\frac{7}{12}[/tex]
[tex]=\frac{16}{12}[/tex]
[tex]=\frac{4}{3}[/tex]
Hence final answer is [tex]\frac{4}{3}[/tex] lb.