Value Mixture Problems
NOTE: See lower down page for Value Mixture Problems where you use two variables.
Below are Value Mixture Problems that use one variable and one linear equation to solve:
Value Mixture Problem #1: Two pounds of organic tea that costs $6.75 a pound is mixed with some generic tea that costs $3.25 a pound. How many pounds of the generic tea should be used to make a new tea mixture that costs $4.65 a pound?
Value Mixture Problem #2: A special treat is made by mixing 5 pounds of popcorn costing $.80 a pound with caramel costing $2.40 a pound. How many pounds of caramel are needed to make a mixture that costs $1.40 a pound?
http://www.youtube.com/watch?v=04vqEtJ01Aw
Value Mixture Problem #3: Tina wants to mix some blackberries that cost $2.75 a pound with 2 pounds of raspberries that cost $3.50 a pound to get a mixture that costs $3.25 a pound. How many blackberries should Tina buy?
http://www.youtube.com/watch?v=IEuEr5Qu_GE
Value Mixture #4 - 1 variable (valmix1var-4.mp4) Tim wants to mix peanuts costing $1.90 per pound with raisins costing $1.20 per pound to make a 10 pound mixture costing $1.48 per pound. How many pounds of each should he use? http://www.youtube.com/watch?v=XfPZpeRRTME
Value Mixture #5 - 1 variable (valmix1var-5.mp4) A store sells columbian coffee for $4 per pound and french coffee for $7 per pound. They decide to make a 120 pound blend and sell it for $5 a pound. How many pounds of each type of coffee should be used? http://www.youtube.com/watch?v=EhK7QH1M43Y
Value Mixture #6 - 1 variable (valmix1var-6.mp4) Find the selling price per quart of a mixture made from 13 quarts of a punch costing 80¢ a quart with 7 quarts of soda costing $1.20 per quart. http://www.youtube.com/watch?v=7eddUIa-mW4
Below are Value Mixture Problems that use two variables and a system of linear equations to solve:
Value Mixture #1-2 variables: This video shows how to solve the following mixture problem using algebra by writing a system of equations with 2 variables. Problem: Mia wants to make a punch by mixing some apple juice costing $2.25 per quart with cranberry juice costing $3.25 per quart. How many quarts of each should she use if she wants to make 100 quarts costing $2.50 per quart?
http://www.youtube.com/watch?v=Wz7ZW2sIDbA
Value Mixture #2- 2 variables: Beth combined punch worth $.80 a quart with some juice worth $2.40 per quart to get an 8 quart mixture worth $1.40 a quart. How much punch was used?
http://www.youtube.com/watch?v=zTu3VO0Erx0
Value Mixture #4 - 2 variables (valmix2var-4.mp4) Tim wants to mix peanuts costing $1.90 per pound with raisins costing $1.20 per pound to make a 10 pound mixture costing $1.48 per pound. How many pounds of each should he use? http://www.youtube.com/watch?v=4E-tAt7rGoA
Value Mixture #5 - 2 variables (valmix2var-5.mp4) A store sells columbian coffee for $4 per pound and french coffee for $7 per pound. They decide to make a 120 pound blend and sell it for $5 a pound. How many pounds of each type of coffee should be used? http://www.youtube.com/watch?v=OukkpcuqbcE