SOLUTION: a pharmacist wants to make 40 ml of a 76% hydrogen peroxide solution how many mls of 55% hydrogen peroxide must he mix with 85% hydrogen peroxide to make a desire solution

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Question 774046: a pharmacist wants to make 40 ml of a 76% hydrogen peroxide solution how many mls of 55% hydrogen peroxide must he mix with 85% hydrogen peroxide to make a desire solution
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = ml of 55% solution needed
Let +b+ = ml of 85% solution needed
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(1) +a+%2B+b+=+40+
(2) +%28+.55a+%2B+.85b+%29+%2F+40+=+.76+
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(2) +.55a+%2B+.85b+=+.76%2A40+
(2) +.55a+%2B+.85b+=+30.4+
(2) +55a+%2B+85b+=+3040+
Multiply both sides of (1) by +55+
and subtract (1) from (2)
(2) +55a+%2B+85b+=+3040+
(1) +-55a+-+55b+=+-2200+
+30b+=+840+
+b+=+28+
and
(1) +a+%2B+b+=+40+
(1) +a+=+12+
12 ml of 55% solution are needed
28 ml of 85% solution are needed
check:
(2) +%28+.55a+%2B+.85b+%29+%2F+40+=+.76+
(2) +%28+.55%2A12+%2B+.85%2A28+%29+%2F+40+=+.76+
(2) +%28+6.6+%2B+23.8+%29+%2F+40+=+.76+
(2) +30.4+=+.76%2A40+
(2) +30.4+=+30.4+
OK