Problema Solution

The pharmacist decided to combine a mixture containing 50% sorghum with a mixture containing 75% sorghum to create a 10 oz mixture containing 60% sorghum. How many ounces of the 50% mixture should the pharmacist use?

Answer provided by our tutors

Let

x = oz of the 50% mixture

y = oz of the 75% mixture

x + y = 10

0.50x + 0.75y = 0.60*10

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click here to see the system of equations solved for x and y

........

x = 6 oz

y = 4 oz

6 oz of the 50% mixture should be used.