posted by bianca .
Mixture Problems Template – Price Problems
Copy the problem from the lesson:
1. A store manager wishes to reduce the price on her fresh ground coffee by mixing two grades. If she has 50 pounds of coffee which sells for $10 per pound, how much coffee worth $6 per pound must she mix with it so that she can sell the final mixture for $ 8.50 per pound?
What Do I Know?
She has 50 lbs. @ $10 per pound
She needs ??? @ $6 per pound
The mixture will sell for $8.50 per pound
What Do I Want to Know?
how many pounds of coffee @ $6 per pounds
Let B = pounds of better grade of coffee
Let L = pounds of lower grade of coffee
Let T = total pounds of coffee after mixing
Write a verbal Model:
Pounds of lower grade coffee + 50 lbs. of better grade coffee = total pounds of coffee.
How Do I Find the Components of the Verbal Model?
Write an Algebraic Equation
Write Your Summary Statement
There is no need to have all those variables, since there is only one, the amount of lower grade coffee defined by L
my equation would be
10(50) + 6L = 8.5(50+L)
and I got L = 30