The correct option is: D. [tex]2\frac{7}{8}[/tex]
Explanation
As the price of each meat package is same that is $12.99, so the best deal will be when the weight of the package will be greatest.
The weight are [tex]2\frac{9}{11}, 2\frac{4}{5}, 2\frac{2}{3}[/tex] and [tex]2\frac{7}{8}[/tex] pounds. For finding the fraction which has greatest value, first we will convert them into improper fraction and then make their denominators same. LCM of the denominators is 1320. So......
[tex]2\frac{9}{11}= \frac{31}{11}= \frac{31*120}{11*120}=\frac{3720}{1320} \\ \\ 2\frac{4}{5}= \frac{14}{5}=\frac{14*264}{5*264}=\frac{3696}{1320}\\ \\ 2\frac{2}{3}=\frac{8}{3}=\frac{8*440}{3*440}=\frac{3520}{1320}\\ \\ 2\frac{7}{8}=\frac{23}{8}=\frac{23*165}{8*165}=\frac{3795}{1320}[/tex]
We can see that 3795 is the greatest numerator. So, [tex]2\frac{7}{8}[/tex] has the greatest value.
Thus, the best deal will be [tex]2\frac{7}{8}[/tex] pounds.
