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how many ounces of water must be added 100 oz. of 60% iodine to produce a 55% solution ? round your answer to the nearest hundreth.

Sagot :

Answer:

10 ounces

Step-by-step explanation:

View image jesscmheasley

Answer:

  9.09 ounces

Step-by-step explanation:

The added water can be calculated by writing an equation for the amount of iodine in the diluted solution.

Setup

Let x represent the number of ounces of water added to the 60% solution. The total amount of iodine in the mixture is ...

  0.60(100) +0(x) = 0.55(100+x) . . . . . ounces of iodine in the mix

Solution

Simplify the equation:

  60 = 55 +0.55x

  5 = 0.55x . . . . . . . subtract 55

  x = 5/0.55 ≈ 9.09

9.09 ounces of pure water must be added to produce a 55% solution.