The weight of coffee worth $10 to be added to mixture to worth $6 a pound is 15 pounds
Let the weight of coffee worth $10 to be added to mixture be x pounds
The weight of coffee worth $4 to be added to mixture is 30 pounds
We want a mixture that worth $6 a pound
The weight of mixture of coffee worth $ 6 is the sum of $10 coffee and $4 coffee
= x + 30
From the above equation we can form a linear equation
X 10 + 30 ×4 = (x+ 30) 6
10x + 120= 6x +180
10x-6x= 180 -120
4x = 60
X= 15
Hence, the weight of coffee worth $10 to be added to mixture to worth $6 a pound is 15 pounds
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