SOLUTION: A pharmacist has two vitamin-supplement powders. The first powder is 5% vitamin B1 and 10% vitamin B2. The second is 25% vitamin B1 and 15% vitamin B2. How many milligrams of each

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Question 1054331: A pharmacist has two vitamin-supplement powders. The first powder is 5% vitamin B1 and 10% vitamin B2. The second is 25% vitamin B1 and 15% vitamin B2. How many milligrams of each of the two powders should the pharmacist use to make a mixture that contains 58 mg of vitamin B1 and 74 mg of vitamin B2?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
x for how much of the 5% B1
y for how much of the 25% B1

Write equations to account for the desired masses of the B1 and B2 vitamins in the mixture.

58 mg of Vitamin B1
0.05x+0.25y=58

74 mg of Vitamin B2
0.1x+0.15y=74

The system before simplification is system%280.05x%2B0.25y=58%2C0.1x%2B0.15y=74%29.

Only more steps IF you need them.