A pharmacist has two vitamin-supplement powders. The first powder is 20% vitamin B1 and 30% vitamin B2. The second is 15% vitamin B1 and ..?

Question

A pharmacist has two vitamin-supplement powders. The first powder is 20% vitamin B1 and 30% vitamin B2. The second is 15% vitamin B1 and 10% vitamin B2. How many milligrams of each powder should the pharmacist use to make a mixture that contains 130 mg of vitamin B1 and 180 mg of vitamin B2?

first powder=        mg

second powder=       mg

Answer 1

            B1.        B2

p1=x    20%.      30%

p2 =y.   15%.      10%

B1=180mg

B2=140mg

2(.3x+   .1y = 130)

3(.2x + .15y = 180)

.6x +  .20y =260

.6x +  .45y. =540

         y=1120mg = first powder

.6x + .20(1120)=260

.6x=36

          x=60mg=second powder