vaishnogmat wrote:
Q) A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead. How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50% of each?
a) 1.5
b) 2.5
c) 3
d) 4.5
e) 5
a) 1.5
b) 2.5
c) 3
d) 4.5
e) 5
we have 15 cups os sauce with 40 % choc and 60 % rasb
cups of choc = 0.4*15 = 6
cups of rasb = 0.6*15 = 9
now let say we removed x cup of original mix and replaced with x cups of choc.
therefore final number of cups of choc =6-0.4x+x
now this number of cup should be 50% of total = 15/2 = 7.5
therefore 6-0.4x+x= 7.5
on solving x= 2.5
hence B