SOLUTION: A pharmacist has two vitamin-supplement powders. The first powder is 10% vitamin B1 and 30% vitamin B2. The second is 15% vitamin B1 and 20% vitamin B2. How many milligrams of each

Question 801751: A pharmacist has two vitamin-supplement powders. The first powder is 10% vitamin B1 and 30% vitamin B2. The second is 15% vitamin B1 and 20% vitamin B2. How many milligrams of each powder should the pharmacist use to make a mixture that contains 70 mg of vitamin B1 and 180 mg of vitamin B2?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Let x = how many mg. of the first powder.
Let y = how many mg. the second powder.

Accounting for vB1,
Accounting for vB2,
Look carefully how the units work to see that these equations make sense. The accountings are for milligrams of each B vitamin.

Simplify the system, multiplying each equation by only 10:
and
Integer coefficients would be more comfortable, so maybe try multiply the first equation by 2:
and
Substitution seems like might be easier than trying elimination, so,

substitute into the other equation,

milligrams of the second powder. Use any formula to find value for x.
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