Candies - coloured

There were red and green candies in a tin. Charlie ate 2/5 of all the red candies, and Susan ate 3/5 of all the green candies. Now the red candies make up 3/8 of all the candies in the tin.

How many candies were originally in the tin?

Final Answer:

n =  35

Step-by-step explanation:

c = 5 k1​ z = 5 k2​ c2​=1−2/5=53​=0.6 z2​=1−3/5=52​=0.4   z⋅ z2​+c⋅ c2​c⋅ c2​​ = 83​ 8⋅ c⋅ c2​ = 3⋅ c2​⋅ c+3⋅ z2​⋅ z c3​=8⋅ c2​−3⋅ c2​=8⋅ 0.6−3⋅ 0.6=3 z3​=3⋅ z2​=3⋅ 0.4=56​=151​=1.2  c3​⋅ c = z3​⋅ z 3c = 6/5 z 15c = 6z 15=3⋅5 6=2⋅3 LCM(15,6)=2⋅3⋅5=30  k3​=LCM(15,6)=30 k1​=2 k2​=5 c=2⋅ 5=10 z=5⋅ 5=25  n=c+z=10+25=35  s1​=3/8=83​=0.375 c4​=c−c⋅ 2/5=10−10⋅ 2/5=6 z4​=z−z⋅ 3/5=25−25⋅ 3/5=10 s4​=c4​/(c4​+z4​)=6/(6+10)=83​=0.375 s1​=s4​

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