Answer :
Final answer:
To make a 1% solution using 25 oz of a 30-index fluid, you set up a proportion and solve for x, resulting in x = 750 oz. Since none of the multiple-choice options match this number exactly, and assuming there's a typo in the provided options, the closest answer would be 75 oz, which is likely intended to be 750 oz.
Explanation:
To determine how much of a 1% solution can be made using 25 oz of a 30-index fluid, we need to set up a simple proportion. The 30-index fluid is essentially a 30% solution. To find out how much total solution at 1% concentration can be made from a 30% solution, we use the following calculation:
- Let x be the total ounces of the 1% solution to be made.
- Set up a proportion where 25 oz of the 30% solution equals x oz of the 1% solution:
(25 oz × 30) = (x oz × 1)
- Multiply to remove the percentage: (25 × 30) = (x × 1)
- This gives us 750 = x
- Now, divide both sides by the percentage of the dilute solution (which is 1) to solve for x: x = 750 oz
Since the question asks for the nearest option, and none of the options match exactly, the closest correct answer that can be given on this test would be 75 oz (choice c), as this is the closest option to the calculated amount, to account for a possible typo in the choices, since they should probably have included '750 oz' and not '75 oz'.
