Designing Mixtures/Solving Problems Algebraically


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Posted by GrdnFoster@aol.com (152.163.188.162) on April 01, 2003 at 07:29:38:

In Reply to: Solve system of equations algebraically posted by on March 20, 2003 at 03:04:31:

Peanuts sell at $5/kg, pecans @ $20/kg. Person wants 30 kg mixture that will sell @ $10. How many kg of peanuts and pecans should she use?
a) suppose you kow the mass of peanuts in kg.
How would you find the mass of pecans?
How would you find the value of peanuts?
How would you find the value of pecans?
b) Let x represent the mass of peanuts in kg.
i) the mass of pecans * remember she wants to make a 30 kg mixture.
ii) the value of the peanuts
iii) the value of the pecans
iv) the total value of peanuts and pecans
C. You kow that the total value of the mixture of pecans and peanuts is $300
i) use this information to write an equation in x. Solve the equation
ii) What is the mass of peanuts?
iii) What is the mass of pecans?
iv) What is the answer to the problem?
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