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

• Ratio of abc will be 24 :40:25,
  
  Amt of b in 35 litr of mixture of a,b,c = 40*35/89 =15.73 ltrs
• 13 years agoHelpfull: Yes(26) No(5)
• the ratio is
  A:B:C =24:40:25
  b=35*40/89=15.73
• 13 years agoHelpfull: Yes(10) No(4)
• the ratio is
  A:B:C =24:40:25
  b=35*40/89=15.73
• 13 years agoHelpfull: Yes(5) No(3)
• simple way to get the ratio of three quantities is,
  consider, a : b and b : c
  multiply the common term in both the ratios, i.e. 'b' with 'a' & 'b' and secondly, multiply c with the common term 'b'
  (a*b) : (b*b) : (c*b) , we get,
  24 : 40 : 25
  24x+40x+25x=35
  x=35/89
  we need the amt of b, so 40x=40*(35/89)=15.73
• 6 years agoHelpfull: Yes(3) No(0)
• 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
• 9 years agoHelpfull: Yes(0) No(3)