Sometimes different liquids are mixed together changing the concentration of the mixture as shown in example 1, example 2 and example 3. At other times, quantities of different costs are mixed together as shown in example 4.
We recommend using a table to organize your information for mixture problems. Using a table allows you to think of one number at a time instead of trying to handle the whole mixture problem at once.
We will show you how it is done by the following examples of mixture problems:Adding to the Solution
Mixture Problems: Example 1:
John has 20 ounces of a 20% of salt solution. How much salt should he add to make it a 25% solution?
Set up a table for salt using the information from the question.
Mixture Problems: Example 2:
John has 20 ounces of a 20% of salt solution. How much water should he evaporate to make it a 30% solution?
Set up a table for water. The water is removed from the original solution.
Mixture Problems: Example 3:
A tank has a capacity of 10 gallons. When it is full, it contains 15% alcohol. How many gallons must be replaced by an 80% alcohol solution to give 10 gallons of 70% solution?
Set up a table for alcohol. The alcohol is replaced: an amount of 15% alcohol is removed and the same amount of 80% alcohol is added.
Mixture Problems: Example 4:
How many pounds of chocolate worth $1.20 a pound must be mixed with 10 pounds of chocolate worth 90 cents a pound to produce a mixture worth $1.00 a pound?
Set up a table for the chocolates with different costs.
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