Answer: The shop has received $ 1724 from the sales of the peppermint bark.
Step-by-step explanation:
Given: Total quantity of peppermint bark = 96 lb
Number of [tex]\dfrac38[/tex] portions = [tex]96\div\dfrac38 =96\times\dfrac83=256[/tex]
[tex]\dfrac34[/tex] of boxes = [tex]\dfrac34\times256=[/tex] $192
These were sold for $6 each before the holidays.
i.e. Cost of [tex]\dfrac34[/tex] of boxes = [tex]192\times 6=\$1152[/tex]
2/3 of the pre-holiday price = [tex]\dfrac23\times6=\$9[/tex]
Rest of boxes = 256-192 = 64
Cost of rest of boxes = [tex]9\times64=\$ \ 576[/tex]
Total money received = $1152 + $572
= $ 1724
Hence, the shop has received $ 1724 from the sales of the peppermint bark.