184k views
1 vote
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.

User Nasik Ahd
by
5.6k points

2 Answers

1 vote

Answer:

10 ounces

Explanation:

how many ounces of water must be added 100 oz. of 60% iodine to produce a 55% solution-example-1
User Rwong
by
6.1k points
4 votes

Answer:

9.09 ounces

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.

User Shenita
by
5.7k points