Question

A Pharmacist needs 100 gallons of 50% solution. She has available a 30% solution and an 80%. How much of each should she use? (Step-by-step answer)

Answer 1

look below

Explanation:

Step 1: Determine the amount of pure solvent needed.

100 gallons x 0.5 (50%) = 50 gallons of pure solvent

Step 2: Determine the amount of each solution to use.

30% solution: 50 gallons of pure solvent / 0.3 = 166.67 gallons of 30% solution

80% solution: 50 gallons of pure solvent / 0.8 = 62.5 gallons of 80% solution

Step 3: Total the amount of solution used.

166.67 gallons of 30% solution + 62.5 gallons of 80% solution = 229.17 gallons total