You have been asked by the Pharmacist to prepare 3 liters of a 30% strength solution. Your pharmacy stocks the active ingredient in 8 oz bottles of 70% strength. How many bottles of the active ingredient will you need to open to complete this request?
A. 14
B. 10
C. 6
D. 3

C. 6

Step-by-step explanation:

Let x liters represent 70% of the solution.

Let us assume that solution is diluted with water, which has a 0% strength.

We have been given that you have been asked by the Pharmacist to prepare 3 liters of a 30% strength solution. Your pharmacy stocks the active ingredient in 8 oz bottles of 70% strength.

The amount of water would be 3 liters minus liters of 70% solution that is .

Now we can set an equation where 70% of x plus 0% of is equal to 30% of 3 liters.

Since our amount is in liters, so we need to convert 1.2857 liters into oz.

1 liter = 33.814 oz

1.2857 liters = 1.2857*33.814 oz = 43.4746598 oz

Since each bottle contains 0 oz, so we will divide 43.4746598 by 8 to find the number of bottles.

Since we cannot open 0.43433 of a bottle, so we need to open 6 bottles and option C is the correct choice.

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