# How many ounces of iodine worth 30 cents an ounce must be mixed with 50 ounces of iodine worth 18 cents an ounce so that the mixture can be sold for 20 cents an ounce?

##### 2 Answers

#### Answer:

#### Explanation:

If we sell

If we sell

In order for us to not lose or gain any money, we would need to sell

So, if there are

There will be

Check:

#### Answer:

10 ounces of 30 cents/ounce iodene

#### Explanation:

Rather than write '30 cents iodine' or '18 cents iodine' each time do the following:

Let the iodine worth 30 cents be **represented** by

Let the iodine worth 18 cents be represented by

It is given that we start with

Let the amount (in ounces) of

We calculate that the value of

So the final value of the blend is such that we have a total cost of:

At the moment all we are interested is

So