An antibiotic solution contains 450,000 units per one milliliter of solution. How many milliliters are needed to provide 150,000 units?

Rationale

0.33 milliliters are needed to provide 150,000 units.

To determine this, one must understand the basic concept of ratios. In this case, the ratio is 450,000 units to 1 milliliter. Therefore, the quantity of milliliters needed to provide 150,000 units can be found by setting up a proportion and solving for the unknown.

A (1/3) CORRECT

The option 0.33 is the correct answer. If the solution contains 450,000 units per milliliter, then 150,000 units would be a third of this amount, or 0.33 milliliters.

B (4/3) YOUR ANSWER

The option 1.33 milliliters is incorrect. This would be the amount needed if the solution contained 337,500 units per milliliter, but according to the problem, the solution contains 450,000 units per milliliter.

C (1/4) YOUR ANSWER

The option 1.25 milliliters is incorrect. This would be the amount needed if the solution contained 360,000 units per milliliter, but according to the problem, the solution contains 450,000 units per milliliter.

D (3) YOUR ANSWER

The option "3" milliliters is incorrect. This would provide 1,350,000 units, which is much more than the 150,000 units needed.

Conclusion

In order to solve this problem, one must understand the principle of ratios and be able to set up a proportion to solve for an unknown. In this case, the correct ratio is 450,000 units to 1 milliliter, so to find out how many milliliters are needed to provide 150,000 units, one must divide 150,000 by 450,000, which gives 0.33 milliliters. All other choices provide either too much or too little of the antibiotic.

An antibiotic solution contains 450,000 units per one milliliter of solution. How many milliliters are needed to provide 150,000 units?

0.33 milliliters are needed to provide 150,000 units.

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