[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[ a ] $ 20 for 8 lb
[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex]❖ \: \sf \:unit \: \: rate = simplest \: \: ratio \: in \: which \: it\: exists[/tex]
[tex] \qquad◈ \: \: \sf \: \cfrac{5}{2} \: \: \$ \:per \: \: lb[/tex]
Now, check out the options -
[ a ]
[tex] \qquad◈ \: \: \sf \: \cfrac{20}{8} [/tex]
( on simplifying )
[tex] \qquad◈ \: \: \sf \: \cfrac{5}{2} \: \: \$ \:per \: \: lb[/tex]
Same as the given one.
[ b ]
[tex] \qquad◈ \: \: \sf \: \cfrac{16}{6} [/tex]
( on simplifying )
[tex] \qquad◈ \: \: \sf \: \cfrac{8}{3} \: \: \$ \:per \: \: lb[/tex]
Not the same.
[ c ]
[tex] \qquad◈ \: \: \sf \: \cfrac{24}{8} [/tex]
( on simplifying )
[tex] \qquad◈ \: \: \sf \: 3 \: \: \$ \:per \: \: lb[/tex]
Not the same.
[ d ]
[tex] \qquad◈ \: \: \sf \: \dfrac{12}{4} \: \: [/tex]
( on simplifying )
[tex] \qquad◈ \: \: \sf \: 3 \: \: \$ \:per \: \: lb[/tex]
Not the same.
[tex] \qquad \large \sf {Conclusion} : [/tex]
The Correct answer is [ a ] $ 20 for 8 lb
