SOLUTION: How much amount of 38% concentration and 70% concentration of sugar particles do you mix to get 40%,41%,42%,43%,44% and 45% concentration of it?

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Question 548873: How much amount of 38% concentration and 70% concentration of sugar particles do you mix to get 40%,41%,42%,43%,44% and 45% concentration of it?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the amounts = a and b
Let +a+%2B+b+=+1+ ( in some units )
given:
+%28+.38a+%2B+.7b+%29+%2F+1+=+.4+
+%28+.38%2A%28b+-+1%29+%2B+.7b+%29+=+.4+
++.38b+-+.38+%2B+.7b+=+.4+
+1.08b+=+.4+%2B+.38+
+1.08b+=+.78+
+b+=+13%2F18+
---------------
+1.08b+=+.41+%2B+.38+
+1.08b+=+.79+
+b+=+79%2F108+
---------------
+1.08b+=+.42+%2B+.38+
+b+=+20%2F27+
--------------
a/b has ratios of:
18/13, 108/79, 27/20, etc.
you can finish