Question

A pharmacist has two vitamin- supplement powders The first power 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 180mg of vitamin B2

Answer 1

Let the amount of first powder be x mg and of second powder is y mg.

Then acc. to question,

for vitamin B1

10%x + 15%y= 70=> 10x + 15y = 7000.............(1)

for vitamin B2

30%x+ 20%y = 180=> 30x + 20y = 18000............(2)

Multiplying (1) by 3 we get

30x+45y=21000...........(3)

Subtracting (2) from (3) , we get

25y = 3000

y= 120

Putting this value in (1) , we get

x= (7000- 1800)/10

=> x = 520

Therefore, we need to take 520 mg of powder 1 and 120 mg of powder 2 to get the required amount of vitamins in the mixture.

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