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timurjin [86]
3 years ago
12

A pharmacist has two vitamin-supplement powders. The first powder is 10% vitamin B1 and 30% vitamin B2. The second is 15% vitami

n 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?
Biology
1 answer:
Basile [38]3 years ago
7 0

Answer:

560 mg of powder 1 and 160 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 80 mg

Total weight of vitamin B2 in the mixture is equal to 200 mg

Equation 1

0.1 X + 0.15 Y= 80

Equation 2

0.3 X + 0.2 Y= 200

Let us simplify the above two equations, we will get

10 X + 15 Y = 8000\\3X + 2Y = 2000

2 (10 X + 15 Y = 8000), 20X + 30 Y = 1600015(3X + 2Y = 2000), 45X +30Y = 30000\\25 X = 14000\\X = 560

Substituting value of X in equation 2 we get

0.3 * 560 + 0.2 Y = 200\\0.2 Y = 200 - 168\\Y = 160

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