Sugars

In what ratio must two sorts of sugar, costing #390 and #315 per kg respectively, be mixed in order to produce a mixture worth #369 per kg?

Correct result:

r =  18:7

Solution:

b=1 390a+315b=369(a+b)  390 a+315 1=369 (a+1)  21a=54  a=1872.571429  r=a/b=2.5714/1=1872.5714=18:7



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