Problema Solution
The manager of a candy shop sells chocolate covered peanuts for $7 per puond and chocolate covered cashews for $14 per pound. The manager wishes to mix 40pounds of the cashews to get a cashew-peanut mixture that will sell for $8 per pound. How many pounds of peanuts should be used?
Answer provided by our tutors
Let = pounds of chocolate needed
Let = pounds of cashews needed
c = 40 given
In words:
(price of peanuts used)+(price of casews used)/(pounds of mixture) = price/pound
(7p + 14c )/ (p + c) =8
(7P + 14*40) /( P + 40) = 8
7p + 560 = 8p + 320
--> 8P -7P = 560 - 320
--> p = 240
Check solution:
(7p + 14c)/p+c = 8
(7*240 + 14*40)/(240+40) = 8
8 = 8
solution is correct.