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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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