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 80 mg of vitamin B1 and 200 mg of vitamin B2?

mg of powder 1 and mg of powder 2

Explanation:

Let "X" denotes weight of powder 1 added to the new mixture and  "Y" denotes weight of powder 2 added to the new mixture

Total weight of vitamin B1 in the mixture is equal to mg

Total weight of vitamin B2 in the mixture is equal to mg

Equation 1

Equation 2

Let us simplify the above two equations, we will get

Substituting value of X in equation 2 we get

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explanation: