a pharmacist has two vitamin supplement powders the first power is 10 vitamin b1 and 30 vitamin

First, let's denote the amount of the first powder as x (in milligrams) and the amount of the se

A pharmacist has two vitamin supplement powders the first...

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

Transcript

00:01 Here the question is taken from algebra.

00:04 Here we will be having two kinds of powders that is vitamin b1 powder and vitamin b2 powder that is mixed together to get a first powder.

00:17 And second powder is also having vitamin b1 and vitamin b2.

00:23 And here we will be taking this vitamin b1 powder as eggs and the second one.

00:30 As why right so we have to find how much milligrams of those powders are present in the given thing so here we will be having 0 .10 that is 10 milligram right and 15 milligrams of b2 that is making our account for first powder and 30 grams of b1 powder and again 20 grams of b2 vitamin powder.

01:21 So accounting are for milligrams, right? that is each b vitamin.

01:28 So here, this equation, 0 .10x plus 0 .15y is equal to 70.

01:37 That is taken as first equation, right? that is written as first equation.

01:41 0 .3x, 0 .20y y is equal to 1 .10 .2 .2 .2.

01:46 That is taken as second equation.

01:50 Here, all the integers are given, that is in decimals.

01:55 So, we will be multiplying it by 10 to get the proper number.

02:00 So when you multiply this whole, both the equations, each term by 10, we will be getting it as x plus 3 by 2y is equal to 700.

02:11 And here, how do we get this 3 by 2? see, here, here.

02:16 We will be having 0 .15 right 0 .15 we can write it as 15 by 100 right 15 by 100 and we will be multiplying each term by 10 already we said that so it will be 150 by see it is 150 by 100 right 150 by 100 right 150 by 100 right 150 by 100.

02:51 So here what happens? see 0 -0 gets cancelled 5 -2s -a and 5 -3 -zah, right? so it is 3 by 2.

03:02 I have written here as 3 by 2 right.

03:05 And it's 70 into 10 is 700 and 0 .3x 30x that is multiplied by 10 and we will be getting it as 3x.

03:15 In the similar manner it is 2y and 180 is multiplied by 10.

03:20 Is 1 ,800, right? and then this is, i have written it as third equation...

Question

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

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