SOLUTION: I need help solving this problem. The problem I am trying to solve is supposed to generate two formulas that I will solve with multiplication and addition/subtraction. However, I c

SOLUTION: I need help solving this problem. The problem I am trying to solve is supposed to generate two formulas that I will solve with multiplication and addition/subtraction. However, I c

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Question 716140: I need help solving this problem. The problem I am trying to solve is supposed to generate two formulas that I will solve with multiplication and addition/subtraction. However, I can't seem to understand this problem. It reads:
A grocer mixes coffee that sells for $6.40 a pound with coffee that sells for $10.40 a pound. If she wants to have 30 pounds of coffee to sell at $9.04 a pound, how many pounds of each will she have to use?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the number of pounds of less expensive coffee. Let

represent the number of pounds of more expensive coffee.
The total number of pounds of the mixture is 30 lbs, so:

The cost of

pounds of $6.40 per pound coffee must be

and the cost of

pounds of $10.40 per pound coffee must be

. The cost of 30 pounds of $9.04 per pound coffee is

, so:

Solve the 2X2 system for

and

. Personnally, I would use the substitution method, but then again all roads lead to Rome.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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