Percent Mixture Problem #2

In this lesson, we learn how to solve a percent mixture problem using one variable. The problem asks us to find the percent concentration of pure apple juice in a mixture of ten quarts of pure apple juice added to 90 quarts of a fruit juice that is only 10% pure apple juice. Using a picture and some algebra, we learn that the resulting mixture has a percent concentration of 19%.

Explains using picture how to solve this percent mixture problem using one variable: Ten quarts of pure apple juice are added to 90 quarts of a fruit juice that 10% pure apple juice. What is the percent concentration of pure apple juice in the resulting mixture?

• How do you solve percent mixture problems with one variable?
• How do you write and solve an equation for a percent mixture problem?
• How do you draw a picture of a percent mixture problem in Algebra?
• How can you check to make sure that your solution to a percent mixture word problem is correct?
• If ten quarts of pure apple juice are added to 90 quarts of a fruit juice that 10% pure apple juice, what is the percent concentration of pure apple juice in the resulting mixture?
• How do you solve 10 + .1(90) = 100p?