10-8 Mixture Problems Standard 15.0: Apply algebraic techniques to percent mixture problems. Standard 15.0: Apply algebraic techniques to percent mixture problems.

Vocabulary Problem-Solving Guidelines Problem-Solving Guidelines  UNDERSTAND the problem  Develop and carry out a PLAN  Find the ANSWER and CHECK

#1 Solving Mixture Problems Let x = The number of lbs of the first solution. Let 175 – x = The number of lbs of the second solution. A grocer wishes to mix some peanuts worth $0.90 per pound with some M&M’s worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each should she use?

#1 Solving Mixture Problems First Solution Second Solution Number of pounds Price per pound Amount of mixture Final Solution

#2 Solving Mixture Problems Let x = amount of the first solution. Let 750 – x = The amount of the second solution. A chemist has one solution that is 60% acid and another that is 30% acid. How much of each solution is needed to make a 750 mL solution that is 50% acid?

#2 Solving Mixture Problems First Solution Second Solution Amount of solution Percent acid Amount of acid Final Solution