SOLUTION: if a and b are mixed in 3:5 ration and b,c are mixed in 8:5 ration if the final mixture is 35 litres,find the amount of b in the final mixture

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Question 338202: if a and b are mixed in 3:5 ration and b,c are mixed in 8:5 ration if the final mixture is 35 litres,find the amount of b in the final mixture
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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if a and b are mixed in 3:5 ratio and b,c are mixed in 8:5 ratio if the final
mixture is 35 litres, find the amount of b in the final mixture
:
Let b = amt of b in each mixture
:
Put a & c in terms of b
:
a%2Fb = 3%2F5
5a = 3b
a = 3%2F5b
a = .6b
:
b%2Fc = 8%2F5
8c = 5b
c = 5%2F8b
c =.625b
:
Add together
a + b + b + c = 35
.6b + 2b + .625b = 35
3.225b = 35
b = 35%2F3.225
b = 10.85 litres in the final mixture