SOLUTION: the ratios of pure milK and water in 4 samples are 2:1: ,3:2 ,5:3 and 7:5. A mixture is made by taking equal quantities from each sample .what is the ratio of pure milk and water

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: the ratios of pure milK and water in 4 samples are 2:1: ,3:2 ,5:3 and 7:5. A mixture is made by taking equal quantities from each sample .what is the ratio of pure milk and water       Log On


   

Question 945626: the ratios of pure milK and water in 4 samples are 2:1: ,3:2 ,5:3 and 7:5. A mixture is made by taking equal quantities from each sample .what is the ratio of pure milk and water in the final mixture ?
Answer by josgarithmetic(39630) About Me  (Show Source):
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This can be reformed as concentrations of milk as fractions of each sample.

The concentrations of each sample are 2%2F3, 3%2F5, 5%2F8, 7%2F12.

Taking equal amount from each and combining these amounts means you have mixed 4 equal parts of the different milk concentrations.

%282%2F3%2B3%2F5%2B5%2F8%2B7%2F12%29%2F4, the mixture fraction as milk.

The lowest denominator needed for handling the arithmetic is 3%2A5%2A8.

%28%282%2F3%29%2840%2F40%29%2B%283%2F5%29%2824%2F24%29%2B%287%2F12%29%2830%2F30%29%29%2F4

continue this;
you will have the resulting fraction of mixture as milk. Change into the other ratio notation accordingly to finish.