SOLUTION: How many pounds of coffee (A) at $3.00 a pound should be mixed with 2.5 pounds of coffee (B) at $4.20 a pound to form a mixture selling at $3.75 a pound? Please show steps. Thanks

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Question 665871: How many pounds of coffee (A) at $3.00 a pound should be mixed with 2.5 pounds of coffee (B) at $4.20 a pound to form a mixture selling at $3.75 a pound? Please show steps. Thanks.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Given:
A+= weight of coffe A at $3.00
B+= weight of coffee B+=+2.5lb at $4.20
M = weight of the Mixture at $3.75
M+=+A+%2B+B
M+=+A+%2B+2.5lb.............eq. 1
%283.0%29A+%2B+%284.2%292.5+=+%283.75%29M
%283.0%29A+%2B+10.5+=+%283.75%29%28A+%2B+2.5%29
3A+%2B+10.5+=+3.75A+%2B+9.375
3.75A+-+3A+=+10.5+-+9.375
0.75A+=+1.125
A+=+1.125%2F0.75
A+=+1.5lb