A store made 96 lb of peppermint bark for the holidays. The peppermint bark was split into 3/8 lb portions and boxes. 3/4 of the boxes were sold for $6 each before the holidays. The rest were sold at 2/3 of the pre-holiday price. How much money did the shop receive from the sales of the peppermint bark?

Respuesta :

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.