SOLUTION: a pharmacist wants to mix an ointment that is 20% zinc oxside with ointment that is 40% zinc oxide to make 60 grams of ointment that is 25% zinc oxide how many grams of each ointme

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Question 702635: a pharmacist wants to mix an ointment that is 20% zinc oxside with ointment that is 40% zinc oxide to make 60 grams of ointment that is 25% zinc oxide how many grams of each ointment should t
he pharmacist mix together

Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a pharmacist wants to mix an ointment that is 20% zinc oxside with ointment that is 40% zinc oxide to make 60 grams of ointment that is 25% zinc oxide how many grams of each ointment should the pharmacist mix together
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Equation:
zinc + zinc = zinc
0.20x + 0.40(60-x) = 0.25*60
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Multiply thru by 100 to get:
20x + 40*60 - 40x = 25*60
-20x = -15*60
x = (3/4)60
x = 45 grams (amt of 20% ointment needed)
60-x = 15 grams (amt of 40% ointment needed)
============================
Cheers,
Stan H.

Answer by josgarithmetic(39627)   (Show Source): You can put this solution on YOUR website!
Basic idea is (amount of zinc oxide) divided by (amount of mixture) equals fraction as zinc oxide.



Let x = grams of 20% to use, and let y = grams of 40% to use.

How much grams of zinc oxide?


How much mixture is needed? 60 grams needed, from the given description.


What concentration zinc oxide is wanted? 25%, or 0.25.

We want this system...


Solve this system.

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