Question

Which of the following has the same unit rate as $5 for 2 pounds

a. $20 for 8lb
b. $16 for 6lb
c. $24 for 8lb
d. $12 for 4lb
make sure to show your work

Answer 1

Answer is a. $20 for 8lb
Step by step
You can first find the ratio by dividing the cost by lb
$5/2 = $2.50 per lb
Now multiply the price per lb x the pounds offered in a, b, c, and d
a. 8lb x $2.50 = $20 that’s your answer
b. 6lb x $2.50 = 16 (wrong)
c. 8lb x $2.50 = $24 (wrong)
d. 4lb x $2.50 = $12 (wrong)

Answer 2

`\qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star`

[ a ] $ 20 for 8 lb

`\textsf{ \underline{\underline{Steps to solve the problem} }:}`

`❖ \: \sf \:unit \: \: rate = simplest \: \: ratio \: in \: which \: it\: exists`

`\qquad◈ \: \: \sf \: \cfrac{5}{2} \: \: \$ \:per \: \: lb`

Now, check out the options -

[ a ]

`\qquad◈ \: \: \sf \: \cfrac{20}{8}`

( on simplifying )

`\qquad◈ \: \: \sf \: \cfrac{5}{2} \: \: \$ \:per \: \: lb`

Same as the given one.

[ b ]

`\qquad◈ \: \: \sf \: \cfrac{16}{6}`

( on simplifying )

`\qquad◈ \: \: \sf \: \cfrac{8}{3} \: \: \$ \:per \: \: lb`

Not the same.

[ c ]

`\qquad◈ \: \: \sf \: \cfrac{24}{8}`

( on simplifying )

`\qquad◈ \: \: \sf \: 3 \: \: \$ \:per \: \: lb`

Not the same.

[ d ]

`\qquad◈ \: \: \sf \: (12)/(4) \: \:`

( on simplifying )

`\qquad◈ \: \: \sf \: 3 \: \: \$ \:per \: \: lb`

Not the same.

`\qquad \large \sf {Conclusion} :`

The Correct answer is [ a ] $ 20 for 8 lb