Answer: 16lbs
Step-by-step explanation: CCC=Chocolate Chip Cookie; WCC=White Chocolate Cookie.
Set up a table showing the pricing ($/lb) and pounds (lbs) for both cookies. The total value of the WCC is $23.8 ($5.95/lb x 4 lbs). The value of the CCC is 6.95x, where x is the lbs CCC.
CCC WCC
6.95 5.95 $/lb
x 4 lbs
6.95x 23.8 $ Total value [$/lb * lbs]
We want x lbs of CCC cookies such that the total value of cookies divided by the total number of lbs is equal to $6.75/lb. That can be written as:
(6.95x + 5.95*4)/(x+4) = 6.75 [Total value of cookies divided by total weight equals $6.75]
(6.95x + 23.8)/(x+4) = 6.75
6.95x + 23.8 =6.75x + 27
0.2x = 3.2
x = 16 lbs
We need 16 lbs of CCC added to the 4 lbs of WCC for a total weight of 20 lbs and a price of $6.75/lb.
