SOLUTION: In the bowl of candies, the number of strawberry flavored candies exceeds the number of orange flavored ones by a ratio of 3:2. If two strawberry flavored candies were removed, the

Algebra ->  Probability-and-statistics -> SOLUTION: In the bowl of candies, the number of strawberry flavored candies exceeds the number of orange flavored ones by a ratio of 3:2. If two strawberry flavored candies were removed, the      Log On


   

Question 470227: In the bowl of candies, the number of strawberry flavored candies exceeds the number of orange flavored ones by a ratio of 3:2. If two strawberry flavored candies were removed, the ratio of red to orange flavored candies would be 1:1.how many number of orange flavored candies in the bowl?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
( s.f.c) / ( o.f.c.) = 3/2
and
((s.f.c) - 2)/ (o.f.c.) = 1/1
Let s.f.c = s
Let o.f.c = o
so
(1) +s%2Fo+=+3%2F2+
(2) +%28s-2%29%2Fo+=+1+
---------------
From (1)
(1) +s+=+%283%2F2%29%2Ao+
Substitute this into (2)
(2) +%28%283%2F2%29%2Ao+-+2%29+%2F+o+=+1+
(2) +%283%2F2%29%2Ao+-+2+=+o+
(2) +3o+-+4+=+2o+
(2) +o+=+4+
And, from (1):
(1) +s+=+%283%2F2%29%2A4+
(1) +s+=+6+
There are 4 orange flavored candies in the bowl
check:
(2) +%28s-2%29%2Fo+=+1+
(2) +%286-2%29%2F4+=+1+
(2) +4%2F4+=+1+
OK
(1) +s%2Fo+=+3%2F2+
(1) +6%2F4+=+3%2F2+
(1) +3%2F2+=+3%2F2+
OK