SOLUTION: Please help me with some word problems. I have tried for several hours and cant figure out where to begin. A coffee maker wants to make a coffee blend by mixing two different c

Question 153484: Please help me with some word problems. I have tried for several hours and cant figure out where to begin.
A coffee maker wants to make a coffee blend by mixing two different coffee beans. Colombian coffee is $3 per pound, while Costa Rican coffee is $6 per pound. The company wants 90 pounds of this mixture which will sell for $4 per pound. How many pounds of each type of coffee should be used?

Thank you.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Colombian $3.00/lb, let's use C as the number of pounds of Colombian.
Costa Rica $6.00/lb, let's use R as the number of pounds of Costa Rican.
We want a total 90 pounds so we know,
1.
We also want to sell it for $4.00/lb.
The average price will be cost of the Colombian plus the cost of the Costa Rican divided by the total number of pounds.
2.
From 1, we can substitute into 2,
2.
2.
2.
Use eq. 1 to solve for C in terms of R.
1.

Now substittue that expression into eq. 2 and solve for R.
2.

From above,

Let's check the per pound price to verify the answer.

True, good answer.
60 pounds Colombian, 30 pounds Costa Rican.

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