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# 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 ..?

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

### 1 Answer

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- jacob sLv 710 months ago
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

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