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A pharmacist has a 12% solution and a 20% solution of boric acid. How much of each should she use to make 80 grams of a 15% solution?
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A pharmacist has a 12% solution and a 20% solution of boric acid. How much of each should she use to make 80 grams of a 15% solution?
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Mathematics
4 years
2021-07-27T23:46:10+00:00
2021-07-27T23:46:10+00:00 2 Answers
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Answers ( )
Step-by-step explanation:
If x = the amount of 12% and y = the amount of 20%, then x + y = 80
Since we need 80 grams of 15%, 80(.15) = 12.
We are given that .12x + .20y = 12.
We can solve the first equation for x or y. Let’s do x.
x = 80 – y
.12(80 – y) + .20y = 12
9.6 – .12y + .20y = 12
.08y = 2.4
y = 30
x = 80 – 30 = 50
Answer:
50 grams
Step-by-step explanation: